Abstract group data - 1008.787

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• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 42, 'aut_gen_orders': [6, 6, 6, 6, 6, 6, 6], 'aut_gens': [[1, 2, 84, 336], [41, 218, 420, 336], [177, 38, 84, 336], [17, 202, 924, 336], [241, 202, 84, 336], [225, 242, 84, 672], [233, 214, 252, 336], [185, 218, 588, 672]], 'aut_group': None, 'aut_hash': 6486938177741458836, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 12096, 'aut_permdeg': 50, 'aut_perms': [9075657988347242797175946705663955316434890995485205458110922576, 1710269504374676004800697245119696951658996772758548631374395765, 15094130017960256819317170346269828831227396386748200513878755285, 19681672398093571932440970672371986177175125918786895187331580994, 19057856980476496231989216735866278203869958312894807938920305714, 28108208773756790422338412431313709421238933133081990592522870220, 24634567053378230410097069992221256007135512804853549910587712782], 'aut_phi_ratio': 42.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 6, 1, 1], [2, 42, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [4, 6, 1, 1], [4, 42, 1, 1], [4, 63, 2, 1], [4, 126, 1, 1], [6, 2, 1, 2], [6, 4, 1, 3], [6, 4, 2, 1], [6, 12, 1, 1], [6, 84, 1, 1], [7, 2, 3, 1], [12, 12, 1, 1], [12, 84, 1, 1], [14, 2, 3, 1], [14, 4, 3, 1], [14, 12, 3, 1], [21, 2, 6, 1], [21, 4, 3, 1], [21, 4, 6, 1], [28, 12, 3, 1], [42, 2, 6, 1], [42, 4, 3, 1], [42, 4, 6, 3], [42, 4, 12, 1], [42, 12, 6, 1], [84, 12, 6, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_6\\times C_2^2\\times S_3\\times F_7', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '1512.792', 'autcentquo_hash': 792, 'autcentquo_nilpotent': False, 'autcentquo_order': 1512, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3^2\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 6, 1], [2, 42, 1], [3, 2, 2], [3, 4, 1], [4, 6, 1], [4, 42, 1], [4, 63, 2], [4, 126, 1], [6, 2, 2], [6, 4, 5], [6, 12, 1], [6, 84, 1], [7, 2, 3], [12, 12, 1], [12, 84, 1], [14, 2, 3], [14, 4, 3], [14, 12, 3], [21, 2, 6], [21, 4, 9], [28, 12, 3], [42, 2, 6], [42, 4, 33], [42, 12, 6], [84, 12, 6]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '504.192', 'commutator_count': 1, 'commutator_label': '126.16', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '7.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 787, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 6, 1, 1], [2, 42, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [4, 6, 1, 1], [4, 42, 1, 1], [4, 63, 2, 1], [4, 126, 1, 1], [6, 2, 1, 2], [6, 4, 1, 5], [6, 12, 1, 1], [6, 84, 1, 1], [7, 2, 3, 1], [12, 12, 1, 1], [12, 84, 1, 1], [14, 2, 3, 1], [14, 4, 3, 1], [14, 12, 3, 1], [21, 2, 6, 1], [21, 4, 3, 1], [21, 4, 6, 1], [28, 12, 3, 1], [42, 2, 6, 1], [42, 4, 3, 1], [42, 4, 6, 5], [42, 12, 6, 1], [84, 12, 6, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 21504, 'exponent': 84, 'exponents_of_order': [4, 2, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [[4, -1, 12]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '504.192', 'hash': 787, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 42, 'inner_gen_orders': [2, 42, 2, 3], 'inner_gens': [[1, 250, 84, 336], [173, 2, 252, 336], [1, 170, 84, 672], [1, 2, 756, 336]], 'inner_hash': 192, 'inner_nilpotent': False, 'inner_order': 504, 'inner_split': True, 'inner_tex': 'S_3\\times D_{42}', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 4, 'irrQ_degree': 24, 'irrQ_dim': 48, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 46], [4, 51]], 'label': '1008.787', 'linC_count': 12, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 8, 'linQ_dim': 14, 'linQ_dim_count': 80, 'linR_count': 120, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D6.D42', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 38, 'number_characteristic_subgroups': 50, 'number_conjugacy_classes': 105, 'number_divisions': 40, 'number_normal_subgroups': 50, 'number_subgroup_autclasses': 174, 'number_subgroup_classes': 176, 'number_subgroups': 1628, 'old_label': None, 'order': 1008, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 51], [3, 8], [4, 300], [6, 120], [7, 6], [12, 96], [14, 54], [21, 48], [28, 36], [42, 216], [84, 72]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1, 58, 84, 336], [1, 58, 84, 672], [1, 38, 252, 672]], 'outer_group': '24.15', 'outer_hash': 15, 'outer_nilpotent': True, 'outer_order': 24, 'outer_permdeg': 9, 'outer_perms': [744, 24, 40323], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 8], [4, 7], [6, 4], [12, 7], [24, 6]], 'representations': {'PC': {'code': 39848191768010354821140597467226697, 'gens': [1, 2, 5, 7], 'pres': [7, -2, -2, -3, -7, -2, -2, -3, 3501, 36, 1682, 79, 2019, 4421, 102, 426]}, 'Perm': {'d': 21, 'gens': [2446776433221161065, 5245030977965856000, 5353870023248947200, 7939008778821120000, 518918400, 3, 444984]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_6.D_{42}', 'transitive_degree': 168, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 111361484
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 787, 'group_order': 1008, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 111361501
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 787, 'group_order': 1008, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 168, 'size': 1}
  • id: 111361512
    {'aut_label': '2B', 'centralizer': '2.c1.a1', 'counter': 3, 'group_counter': 787, 'group_order': 1008, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 42, 'size': 2}
  • id: 111361523
    {'aut_label': '2C', 'centralizer': '6.i1.a1', 'counter': 4, 'group_counter': 787, 'group_order': 1008, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 126, 'size': 6}
  • id: 111361534
    {'aut_label': '2D', 'centralizer': '42.l1.a1', 'counter': 5, 'group_counter': 787, 'group_order': 1008, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 197, 'size': 42}
  • id: 111361545
    {'aut_label': '3A', 'centralizer': '2.b1.a1', 'counter': 6, 'group_counter': 787, 'group_order': 1008, 'label': '3A', 'order': 3, 'powers': [6, 1, 6], 'representative': 672, 'size': 2}
  • id: 111361556
    {'aut_label': '3B', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 787, 'group_order': 1008, 'label': '3B', 'order': 3, 'powers': [7, 1, 7], 'representative': 28, 'size': 2}
  • id: 111361567
    {'aut_label': '3C', 'centralizer': '4.a1.a1', 'counter': 8, 'group_counter': 787, 'group_order': 1008, 'label': '3C', 'order': 3, 'powers': [8, 1, 8], 'representative': 700, 'size': 4}
  • id: 111361578
    {'aut_label': '4A', 'centralizer': '6.m1.a1', 'counter': 9, 'group_counter': 787, 'group_order': 1008, 'label': '4A', 'order': 4, 'powers': [2, 9, 9], 'representative': 84, 'size': 6}
  • id: 111361485
    {'aut_label': '4B', 'centralizer': '42.k1.a1', 'counter': 10, 'group_counter': 787, 'group_order': 1008, 'label': '4B', 'order': 4, 'powers': [2, 10, 10], 'representative': 171, 'size': 42}
  • id: 111361492
    {'aut_label': '4C1', 'centralizer': '63.a1.a1', 'counter': 11, 'group_counter': 787, 'group_order': 1008, 'label': '4C1', 'order': 4, 'powers': [2, 12, 12], 'representative': 109, 'size': 63}
  • id: 111361493
    {'aut_label': '4C1', 'centralizer': '63.a1.a1', 'counter': 12, 'group_counter': 787, 'group_order': 1008, 'label': '4C-1', 'order': 4, 'powers': [2, 11, 11], 'representative': 277, 'size': 63}
  • id: 111361494
    {'aut_label': '4D', 'centralizer': '126.c1.a1', 'counter': 13, 'group_counter': 787, 'group_order': 1008, 'label': '4D', 'order': 4, 'powers': [2, 13, 13], 'representative': 323, 'size': 126}
  • id: 111361495
    {'aut_label': '6A', 'centralizer': '2.b1.a1', 'counter': 14, 'group_counter': 787, 'group_order': 1008, 'label': '6A', 'order': 6, 'powers': [6, 2, 14], 'representative': 504, 'size': 2}
  • id: 111361496
    {'aut_label': '6B', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 787, 'group_order': 1008, 'label': '6B', 'order': 6, 'powers': [7, 2, 15], 'representative': 224, 'size': 2}
  • id: 111361497
    {'aut_label': '6C', 'centralizer': '4.a1.a1', 'counter': 16, 'group_counter': 787, 'group_order': 1008, 'label': '6C', 'order': 6, 'powers': [7, 3, 16], 'representative': 14, 'size': 4}
  • id: 111361498
    {'aut_label': '6D', 'centralizer': '4.a1.a1', 'counter': 17, 'group_counter': 787, 'group_order': 1008, 'label': '6D', 'order': 6, 'powers': [8, 3, 17], 'representative': 350, 'size': 4}
  • id: 111361499
    {'aut_label': '6D', 'centralizer': '4.a1.a1', 'counter': 18, 'group_counter': 787, 'group_order': 1008, 'label': '6E', 'order': 6, 'powers': [8, 3, 18], 'representative': 686, 'size': 4}
  • id: 111361500
    {'aut_label': '6F', 'centralizer': '4.a1.a1', 'counter': 19, 'group_counter': 787, 'group_order': 1008, 'label': '6F', 'order': 6, 'powers': [8, 2, 19], 'representative': 532, 'size': 4}
  • id: 111361502
    {'aut_label': '6G', 'centralizer': '4.a1.a1', 'counter': 20, 'group_counter': 787, 'group_order': 1008, 'label': '6G', 'order': 6, 'powers': [6, 3, 20], 'representative': 378, 'size': 4}
  • id: 111361503
    {'aut_label': '6H', 'centralizer': '12.h1.a1', 'counter': 21, 'group_counter': 787, 'group_order': 1008, 'label': '6H', 'order': 6, 'powers': [7, 4, 21], 'representative': 98, 'size': 12}
  • id: 111361504
    {'aut_label': '6I', 'centralizer': '84.g1.a1', 'counter': 22, 'group_counter': 787, 'group_order': 1008, 'label': '6I', 'order': 6, 'powers': [6, 5, 22], 'representative': 533, 'size': 84}
  • id: 111361505
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 787, 'group_order': 1008, 'label': '7A1', 'order': 7, 'powers': [24, 25, 1], 'representative': 72, 'size': 2}
  • id: 111361506
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 787, 'group_order': 1008, 'label': '7A2', 'order': 7, 'powers': [25, 23, 1], 'representative': 60, 'size': 2}
  • id: 111361507
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 787, 'group_order': 1008, 'label': '7A3', 'order': 7, 'powers': [23, 24, 1], 'representative': 48, 'size': 2}
  • id: 111361508
    {'aut_label': '12A', 'centralizer': '12.m1.a1', 'counter': 26, 'group_counter': 787, 'group_order': 1008, 'label': '12A', 'order': 12, 'powers': [15, 9, 26], 'representative': 280, 'size': 12}
  • id: 111361509
    {'aut_label': '12B', 'centralizer': '84.i1.a1', 'counter': 27, 'group_counter': 787, 'group_order': 1008, 'label': '12B', 'order': 12, 'powers': [14, 10, 27], 'representative': 339, 'size': 84}
  • id: 111361510
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 787, 'group_order': 1008, 'label': '14A1', 'order': 14, 'powers': [23, 29, 2], 'representative': 204, 'size': 2}
  • id: 111361511
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 787, 'group_order': 1008, 'label': '14A3', 'order': 14, 'powers': [25, 30, 2], 'representative': 192, 'size': 2}
  • id: 111361513
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 787, 'group_order': 1008, 'label': '14A5', 'order': 14, 'powers': [24, 28, 2], 'representative': 180, 'size': 2}
  • id: 111361514
    {'aut_label': '14B1', 'centralizer': '4.a1.a1', 'counter': 31, 'group_counter': 787, 'group_order': 1008, 'label': '14B1', 'order': 14, 'powers': [23, 32, 3], 'representative': 6, 'size': 4}
  • id: 111361515
    {'aut_label': '14B1', 'centralizer': '4.a1.a1', 'counter': 32, 'group_counter': 787, 'group_order': 1008, 'label': '14B3', 'order': 14, 'powers': [25, 33, 3], 'representative': 18, 'size': 4}
  • id: 111361516
    {'aut_label': '14B1', 'centralizer': '4.a1.a1', 'counter': 33, 'group_counter': 787, 'group_order': 1008, 'label': '14B5', 'order': 14, 'powers': [24, 31, 3], 'representative': 30, 'size': 4}
  • id: 111361517
    {'aut_label': '14C1', 'centralizer': '12.h1.a1', 'counter': 34, 'group_counter': 787, 'group_order': 1008, 'label': '14C1', 'order': 14, 'powers': [23, 35, 4], 'representative': 90, 'size': 12}
  • id: 111361518
    {'aut_label': '14C1', 'centralizer': '12.h1.a1', 'counter': 35, 'group_counter': 787, 'group_order': 1008, 'label': '14C3', 'order': 14, 'powers': [25, 36, 4], 'representative': 102, 'size': 12}
  • id: 111361519
    {'aut_label': '14C1', 'centralizer': '12.h1.a1', 'counter': 36, 'group_counter': 787, 'group_order': 1008, 'label': '14C5', 'order': 14, 'powers': [24, 34, 4], 'representative': 114, 'size': 12}
  • id: 111361520
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 787, 'group_order': 1008, 'label': '21A1', 'order': 21, 'powers': [38, 23, 7], 'representative': 4, 'size': 2}
  • id: 111361521
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 787, 'group_order': 1008, 'label': '21A2', 'order': 21, 'powers': [39, 24, 7], 'representative': 8, 'size': 2}
  • id: 111361522
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 787, 'group_order': 1008, 'label': '21A4', 'order': 21, 'powers': [41, 25, 7], 'representative': 16, 'size': 2}
  • id: 111361524
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 787, 'group_order': 1008, 'label': '21A5', 'order': 21, 'powers': [42, 24, 7], 'representative': 20, 'size': 2}
  • id: 111361525
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 787, 'group_order': 1008, 'label': '21A8', 'order': 21, 'powers': [40, 23, 7], 'representative': 32, 'size': 2}
  • id: 111361526
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 787, 'group_order': 1008, 'label': '21A10', 'order': 21, 'powers': [37, 25, 7], 'representative': 40, 'size': 2}
  • id: 111361527
    {'aut_label': '21B1', 'centralizer': '4.a1.a1', 'counter': 43, 'group_counter': 787, 'group_order': 1008, 'label': '21B1', 'order': 21, 'powers': [44, 23, 6], 'representative': 696, 'size': 4}
  • id: 111361528
    {'aut_label': '21B1', 'centralizer': '4.a1.a1', 'counter': 44, 'group_counter': 787, 'group_order': 1008, 'label': '21B2', 'order': 21, 'powers': [45, 24, 6], 'representative': 384, 'size': 4}
  • id: 111361529
    {'aut_label': '21B1', 'centralizer': '4.a1.a1', 'counter': 45, 'group_counter': 787, 'group_order': 1008, 'label': '21B4', 'order': 21, 'powers': [43, 25, 6], 'representative': 684, 'size': 4}
  • id: 111361530
    {'aut_label': '21C1', 'centralizer': '4.a1.a1', 'counter': 46, 'group_counter': 787, 'group_order': 1008, 'label': '21C1', 'order': 21, 'powers': [47, 23, 8], 'representative': 676, 'size': 4}
  • id: 111361531
    {'aut_label': '21C1', 'centralizer': '4.a1.a1', 'counter': 47, 'group_counter': 787, 'group_order': 1008, 'label': '21C2', 'order': 21, 'powers': [48, 24, 8], 'representative': 344, 'size': 4}
  • id: 111361532
    {'aut_label': '21C1', 'centralizer': '4.a1.a1', 'counter': 48, 'group_counter': 787, 'group_order': 1008, 'label': '21C4', 'order': 21, 'powers': [50, 25, 8], 'representative': 688, 'size': 4}
  • id: 111361533
    {'aut_label': '21C1', 'centralizer': '4.a1.a1', 'counter': 49, 'group_counter': 787, 'group_order': 1008, 'label': '21C5', 'order': 21, 'powers': [51, 24, 8], 'representative': 356, 'size': 4}
  • id: 111361535
    {'aut_label': '21C1', 'centralizer': '4.a1.a1', 'counter': 50, 'group_counter': 787, 'group_order': 1008, 'label': '21C8', 'order': 21, 'powers': [49, 23, 8], 'representative': 368, 'size': 4}
  • id: 111361536
    {'aut_label': '21C1', 'centralizer': '4.a1.a1', 'counter': 51, 'group_counter': 787, 'group_order': 1008, 'label': '21C10', 'order': 21, 'powers': [46, 25, 8], 'representative': 712, 'size': 4}
  • id: 111361537
    {'aut_label': '28A1', 'centralizer': '12.m1.a1', 'counter': 52, 'group_counter': 787, 'group_order': 1008, 'label': '28A1', 'order': 28, 'powers': [29, 53, 9], 'representative': 264, 'size': 12}
  • id: 111361538
    {'aut_label': '28A1', 'centralizer': '12.m1.a1', 'counter': 53, 'group_counter': 787, 'group_order': 1008, 'label': '28A3', 'order': 28, 'powers': [30, 54, 9], 'representative': 120, 'size': 12}
  • id: 111361539
    {'aut_label': '28A1', 'centralizer': '12.m1.a1', 'counter': 54, 'group_counter': 787, 'group_order': 1008, 'label': '28A5', 'order': 28, 'powers': [28, 52, 9], 'representative': 312, 'size': 12}
  • id: 111361540
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 787, 'group_order': 1008, 'label': '42A1', 'order': 42, 'powers': [39, 29, 15], 'representative': 176, 'size': 2}
  • id: 111361541
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 787, 'group_order': 1008, 'label': '42A5', 'order': 42, 'powers': [37, 28, 15], 'representative': 208, 'size': 2}
  • id: 111361542
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 787, 'group_order': 1008, 'label': '42A11', 'order': 42, 'powers': [38, 30, 15], 'representative': 172, 'size': 2}
  • id: 111361543
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 787, 'group_order': 1008, 'label': '42A13', 'order': 42, 'powers': [42, 29, 15], 'representative': 188, 'size': 2}
  • id: 111361544
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 787, 'group_order': 1008, 'label': '42A17', 'order': 42, 'powers': [40, 30, 15], 'representative': 220, 'size': 2}
  • id: 111361546
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 787, 'group_order': 1008, 'label': '42A19', 'order': 42, 'powers': [41, 28, 15], 'representative': 236, 'size': 2}
  • id: 111361547
    {'aut_label': '42B1', 'centralizer': '4.a1.a1', 'counter': 61, 'group_counter': 787, 'group_order': 1008, 'label': '42B1', 'order': 42, 'powers': [43, 28, 14], 'representative': 516, 'size': 4}
  • id: 111361548
    {'aut_label': '42B1', 'centralizer': '4.a1.a1', 'counter': 62, 'group_counter': 787, 'group_order': 1008, 'label': '42B5', 'order': 42, 'powers': [44, 30, 14], 'representative': 528, 'size': 4}
  • id: 111361549
    {'aut_label': '42B1', 'centralizer': '4.a1.a1', 'counter': 63, 'group_counter': 787, 'group_order': 1008, 'label': '42B11', 'order': 42, 'powers': [45, 29, 14], 'representative': 540, 'size': 4}
  • id: 111361550
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 64, 'group_counter': 787, 'group_order': 1008, 'label': '42C1', 'order': 42, 'powers': [37, 31, 16], 'representative': 2, 'size': 4}
  • id: 111361551
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 65, 'group_counter': 787, 'group_order': 1008, 'label': '42C5', 'order': 42, 'powers': [40, 33, 16], 'representative': 10, 'size': 4}
  • id: 111361552
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 66, 'group_counter': 787, 'group_order': 1008, 'label': '42C11', 'order': 42, 'powers': [42, 32, 16], 'representative': 62, 'size': 4}
  • id: 111361553
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 67, 'group_counter': 787, 'group_order': 1008, 'label': '42C13', 'order': 42, 'powers': [41, 31, 16], 'representative': 26, 'size': 4}
  • id: 111361554
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 68, 'group_counter': 787, 'group_order': 1008, 'label': '42C17', 'order': 42, 'powers': [39, 32, 16], 'representative': 50, 'size': 4}
  • id: 111361555
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 69, 'group_counter': 787, 'group_order': 1008, 'label': '42C19', 'order': 42, 'powers': [38, 33, 16], 'representative': 38, 'size': 4}
  • id: 111361557
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 70, 'group_counter': 787, 'group_order': 1008, 'label': '42D1', 'order': 42, 'powers': [46, 31, 17], 'representative': 338, 'size': 4}
  • id: 111361558
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 71, 'group_counter': 787, 'group_order': 1008, 'label': '42D5', 'order': 42, 'powers': [49, 33, 17], 'representative': 682, 'size': 4}
  • id: 111361559
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 72, 'group_counter': 787, 'group_order': 1008, 'label': '42D11', 'order': 42, 'powers': [51, 32, 17], 'representative': 398, 'size': 4}
  • id: 111361560
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 73, 'group_counter': 787, 'group_order': 1008, 'label': '42D13', 'order': 42, 'powers': [50, 31, 17], 'representative': 362, 'size': 4}
  • id: 111361561
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 74, 'group_counter': 787, 'group_order': 1008, 'label': '42D17', 'order': 42, 'powers': [48, 32, 17], 'representative': 386, 'size': 4}
  • id: 111361562
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 75, 'group_counter': 787, 'group_order': 1008, 'label': '42D19', 'order': 42, 'powers': [47, 33, 17], 'representative': 374, 'size': 4}
  • id: 111361563
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 76, 'group_counter': 787, 'group_order': 1008, 'label': '42E1', 'order': 42, 'powers': [46, 31, 18], 'representative': 674, 'size': 4}
  • id: 111361564
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 77, 'group_counter': 787, 'group_order': 1008, 'label': '42E5', 'order': 42, 'powers': [49, 33, 18], 'representative': 346, 'size': 4}
  • id: 111361565
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 78, 'group_counter': 787, 'group_order': 1008, 'label': '42E11', 'order': 42, 'powers': [51, 32, 18], 'representative': 734, 'size': 4}
  • id: 111361566
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 79, 'group_counter': 787, 'group_order': 1008, 'label': '42E13', 'order': 42, 'powers': [50, 31, 18], 'representative': 698, 'size': 4}
  • id: 111361568
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 80, 'group_counter': 787, 'group_order': 1008, 'label': '42E17', 'order': 42, 'powers': [48, 32, 18], 'representative': 722, 'size': 4}
  • id: 111361569
    {'aut_label': '42D1', 'centralizer': '4.a1.a1', 'counter': 81, 'group_counter': 787, 'group_order': 1008, 'label': '42E19', 'order': 42, 'powers': [47, 33, 18], 'representative': 710, 'size': 4}
  • id: 111361570
    {'aut_label': '42F1', 'centralizer': '4.a1.a1', 'counter': 82, 'group_counter': 787, 'group_order': 1008, 'label': '42F1', 'order': 42, 'powers': [47, 30, 19], 'representative': 508, 'size': 4}
  • id: 111361571
    {'aut_label': '42F1', 'centralizer': '4.a1.a1', 'counter': 83, 'group_counter': 787, 'group_order': 1008, 'label': '42F5', 'order': 42, 'powers': [51, 29, 19], 'representative': 524, 'size': 4}
  • id: 111361572
    {'aut_label': '42F1', 'centralizer': '4.a1.a1', 'counter': 84, 'group_counter': 787, 'group_order': 1008, 'label': '42F11', 'order': 42, 'powers': [46, 28, 19], 'representative': 544, 'size': 4}
  • id: 111361573
    {'aut_label': '42F1', 'centralizer': '4.a1.a1', 'counter': 85, 'group_counter': 787, 'group_order': 1008, 'label': '42F13', 'order': 42, 'powers': [49, 30, 19], 'representative': 536, 'size': 4}
  • id: 111361574
    {'aut_label': '42F1', 'centralizer': '4.a1.a1', 'counter': 86, 'group_counter': 787, 'group_order': 1008, 'label': '42F17', 'order': 42, 'powers': [50, 28, 19], 'representative': 520, 'size': 4}
  • id: 111361575
    {'aut_label': '42F1', 'centralizer': '4.a1.a1', 'counter': 87, 'group_counter': 787, 'group_order': 1008, 'label': '42F19', 'order': 42, 'powers': [48, 29, 19], 'representative': 512, 'size': 4}
  • id: 111361576
    {'aut_label': '42G1', 'centralizer': '4.a1.a1', 'counter': 88, 'group_counter': 787, 'group_order': 1008, 'label': '42G1', 'order': 42, 'powers': [45, 32, 20], 'representative': 342, 'size': 4}
  • id: 111361577
    {'aut_label': '42G1', 'centralizer': '4.a1.a1', 'counter': 89, 'group_counter': 787, 'group_order': 1008, 'label': '42G5', 'order': 42, 'powers': [43, 31, 20], 'representative': 702, 'size': 4}
  • id: 111361579
    {'aut_label': '42G1', 'centralizer': '4.a1.a1', 'counter': 90, 'group_counter': 787, 'group_order': 1008, 'label': '42G11', 'order': 42, 'powers': [44, 33, 20], 'representative': 354, 'size': 4}
  • id: 111361580
    {'aut_label': '42G1', 'centralizer': '4.a1.a1', 'counter': 91, 'group_counter': 787, 'group_order': 1008, 'label': '42G13', 'order': 42, 'powers': [45, 32, 20], 'representative': 678, 'size': 4}
  • id: 111361581
    {'aut_label': '42G1', 'centralizer': '4.a1.a1', 'counter': 92, 'group_counter': 787, 'group_order': 1008, 'label': '42G17', 'order': 42, 'powers': [44, 33, 20], 'representative': 690, 'size': 4}
  • id: 111361582
    {'aut_label': '42G1', 'centralizer': '4.a1.a1', 'counter': 93, 'group_counter': 787, 'group_order': 1008, 'label': '42G19', 'order': 42, 'powers': [43, 31, 20], 'representative': 366, 'size': 4}
  • id: 111361583
    {'aut_label': '42H1', 'centralizer': '12.h1.a1', 'counter': 94, 'group_counter': 787, 'group_order': 1008, 'label': '42H1', 'order': 42, 'powers': [37, 34, 21], 'representative': 86, 'size': 12}
  • id: 111361584
    {'aut_label': '42H1', 'centralizer': '12.h1.a1', 'counter': 95, 'group_counter': 787, 'group_order': 1008, 'label': '42H5', 'order': 42, 'powers': [40, 36, 21], 'representative': 94, 'size': 12}
  • id: 111361585
    {'aut_label': '42H1', 'centralizer': '12.h1.a1', 'counter': 96, 'group_counter': 787, 'group_order': 1008, 'label': '42H11', 'order': 42, 'powers': [42, 35, 21], 'representative': 146, 'size': 12}
  • id: 111361586
    {'aut_label': '42H1', 'centralizer': '12.h1.a1', 'counter': 97, 'group_counter': 787, 'group_order': 1008, 'label': '42H13', 'order': 42, 'powers': [41, 34, 21], 'representative': 110, 'size': 12}
  • id: 111361587
    {'aut_label': '42H1', 'centralizer': '12.h1.a1', 'counter': 98, 'group_counter': 787, 'group_order': 1008, 'label': '42H17', 'order': 42, 'powers': [39, 35, 21], 'representative': 134, 'size': 12}
  • id: 111361588
    {'aut_label': '42H1', 'centralizer': '12.h1.a1', 'counter': 99, 'group_counter': 787, 'group_order': 1008, 'label': '42H19', 'order': 42, 'powers': [38, 36, 21], 'representative': 122, 'size': 12}
  • id: 111361486
    {'aut_label': '84A1', 'centralizer': '12.m1.a1', 'counter': 100, 'group_counter': 787, 'group_order': 1008, 'label': '84A1', 'order': 84, 'powers': [55, 52, 26], 'representative': 88, 'size': 12}
  • id: 111361487
    {'aut_label': '84A1', 'centralizer': '12.m1.a1', 'counter': 101, 'group_counter': 787, 'group_order': 1008, 'label': '84A5', 'order': 84, 'powers': [56, 54, 26], 'representative': 104, 'size': 12}
  • id: 111361488
    {'aut_label': '84A1', 'centralizer': '12.m1.a1', 'counter': 102, 'group_counter': 787, 'group_order': 1008, 'label': '84A11', 'order': 84, 'powers': [57, 53, 26], 'representative': 124, 'size': 12}
  • id: 111361489
    {'aut_label': '84A1', 'centralizer': '12.m1.a1', 'counter': 103, 'group_counter': 787, 'group_order': 1008, 'label': '84A13', 'order': 84, 'powers': [58, 52, 26], 'representative': 116, 'size': 12}
  • id: 111361490
    {'aut_label': '84A1', 'centralizer': '12.m1.a1', 'counter': 104, 'group_counter': 787, 'group_order': 1008, 'label': '84A17', 'order': 84, 'powers': [59, 53, 26], 'representative': 100, 'size': 12}
  • id: 111361491
    {'aut_label': '84A1', 'centralizer': '12.m1.a1', 'counter': 105, 'group_counter': 787, 'group_order': 1008, 'label': '84A19', 'order': 84, 'powers': [60, 54, 26], 'representative': 92, 'size': 12}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 4930649
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930660
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930671
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930682
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930684
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930685
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930686
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930687
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930688
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 0, 2, -1, 2, -1, 0, 2, 0, 0, 0, -1, 2, -1, -1, -1, -1, 2, 0, -1, 2, 2, 2, 0, -1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930650
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2b', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 2, -1, -1, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 0, 2, 2, 2, -1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930651
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 2, -1, -1, 2, 0, 0, 0, 0, 2, -1, 1, 1, -2, -1, 1, 1, 0, 2, 2, 2, -1, 0, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, -1, 1, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -2, 1, -2, 2, 1, 2, -1, -2, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930652
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, -2, -1, 2, -1, 0, 2, 0, 0, 0, -1, 2, 1, 1, 1, -1, -2, 0, 1, 2, 2, 2, 0, -1, 2, 2, 2, -2, -2, -2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -2, -2, -2, -2, -1, 1, 1, 1, -1, -2, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930653
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 2, -1, 2, -1, 0, -2, 0, 0, 0, -1, 2, 1, 1, 1, -1, -2, 0, -1, 2, 2, 2, 0, 1, 2, 2, 2, -2, -2, -2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -2, -2, -2, -2, -1, 1, 1, 1, -1, -2, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930654
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 0, 2, -1, -1, -2, 0, 0, 0, 0, 2, -1, 1, 1, -2, -1, 1, -1, 0, 2, 2, 2, 1, 0, 2, 2, 2, -2, -2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -2, -2, -2, -1, -1, -1, -1, -1, -1, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, -1, 1, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -2, 1, -2, 2, 1, 2, -1, -2, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930655
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 0, 2, -1, -1, -2, 0, 0, 0, 0, 2, -1, -1, -1, 2, -1, -1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, 2, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930656
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 0, -2, -1, 2, -1, 0, -2, 0, 0, 0, -1, 2, -1, -1, -1, -1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930657
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2i', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, -4, 0, 0, 0, 4, 4, 4, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930667
    {'cdim': 4, 'counter': 26, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4a', 'multiplicity': 1, 'nt': [6, 9], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, -2, -2, 1, 1, -2, 1, -2, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, -2, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, 1, -2, 1, -2, -2, -2, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930668
    {'cdim': 4, 'counter': 27, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4b', 'multiplicity': 1, 'nt': [12, 37], 'qdim': 4, 'qvalues': [4, 4, -4, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, -2, -2, -1, -1, 2, 1, 2, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, -4, -4, -4, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, 0, 0, 0, -2, -2, -2, -2, -2, -2, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, 1, -1, -2, 1, 1, 1, -1, -1, 2, 2, 2, 2, 1, 2, -1, 2, -2, 2, -2, 1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930669
    {'cdim': 4, 'counter': 28, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4c', 'multiplicity': 1, 'nt': [24, 18], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, -2, 4, -2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 2, 0, 0, 0, 4, 4, 4, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4930670
    {'cdim': 4, 'counter': 29, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4d', 'multiplicity': 1, 'nt': [24, 18], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 4, -2, -2, 0, 0, 0, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0, 0, 4, 4, 4, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4930672
    {'cdim': 4, 'counter': 30, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4e', 'multiplicity': 1, 'nt': [24, 206], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 2, 2, -3, 3, 0, -1, 0, 0, 0, 4, 4, 4, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 0, 3, 3, 0, 0, -3, -3, 0, 3, 3, -1, -3, 2, -1, -1, -1, 3, -3, 0, 0, 0, 0, -1, 0, -3, 0, 2, 0, 2, -1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4930673
    {'cdim': 4, 'counter': 31, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4f', 'multiplicity': 1, 'nt': [24, 206], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 2, 2, 3, -3, 0, -1, 0, 0, 0, 4, 4, 4, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -3, 0, -3, -3, 0, 0, 3, 3, 0, -3, -3, -1, 3, 2, -1, -1, -1, -3, 3, 0, 0, 0, 0, -1, 0, 3, 0, 2, 0, 2, -1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4930658
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2j', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, -1, -1, -1, 6, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930659
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2k', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, -6, -6, -6, 6, -6, -6, 0, -1, -1, -1, 6, 0, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930661
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2l', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, 6, 0, 6, 6, 6, -6, 0, 0, 0, 0, 6, 6, -6, -6, -6, 6, -6, 6, 0, -1, -1, -1, -6, 0, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930662
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2m', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 0, 6, 6, 6, -6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, -6, 0, -1, -1, -1, -6, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930663
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2n', 'multiplicity': 6, 'nt': [21, 5], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 0, 12, -6, -6, 12, 0, 0, 0, 0, 12, -6, -6, -6, 12, -6, -6, -6, 0, -2, -2, -2, -6, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930664
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2o', 'multiplicity': 6, 'nt': [42, 11], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 0, 12, -6, -6, 12, 0, 0, 0, 0, 12, -6, 6, 6, -12, -6, 6, 6, 0, -2, -2, -2, -6, 0, -2, -2, -2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 1, -1, -2, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 2, -1, 2, -2, -1, -2, 1, 2, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4930665
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2p', 'multiplicity': 6, 'nt': [42, 11], 'qdim': 12, 'qvalues': [12, 12, -12, 12, 0, 12, -6, -6, -12, 0, 0, 0, 0, 12, -6, 6, 6, -12, -6, 6, -6, 0, -2, -2, -2, 6, 0, -2, -2, -2, 2, 2, 2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 2, 2, 2, 1, 1, 1, 1, 1, 1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 1, -1, -2, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 2, -1, 2, -2, -1, -2, 1, 2, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930666
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.2q', 'multiplicity': 6, 'nt': [42, 11], 'qdim': 12, 'qvalues': [12, 12, 12, -12, 0, 12, -6, -6, -12, 0, 0, 0, 0, 12, -6, -6, -6, 12, -6, -6, 6, 0, -2, -2, -2, 6, 0, -2, -2, -2, -2, -2, -2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, -2, 1, -2, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4930674
    {'cdim': 4, 'counter': 32, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4g', 'multiplicity': 3, 'nt': [21, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 0, 0, -6, 12, -6, 0, 0, 0, 0, 0, -6, 12, -6, -6, -6, -6, 12, 0, 0, -2, -2, -2, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930675
    {'cdim': 4, 'counter': 33, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4h', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, -12, 0, 0, -6, 12, -6, 0, 0, 0, 0, 0, -6, 12, 6, 6, 6, -6, -12, 0, 0, -2, -2, -2, 0, 0, -2, -2, -2, 2, 2, 2, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 2, 2, 2, 2, 1, -1, -1, -1, 1, 2, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930676
    {'cdim': 4, 'counter': 34, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4i', 'multiplicity': 3, 'nt': [56, 0], 'qdim': 12, 'qvalues': [12, -12, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, -12, -12, 0, 0, 0, -12, 0, 0, 0, -2, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4930677
    {'cdim': 4, 'counter': 35, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4j', 'multiplicity': 6, 'nt': [42, 51], 'qdim': 24, 'qvalues': [24, 24, 24, 0, 0, -12, -12, 6, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, 6, -12, 0, 0, -4, -4, -4, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, -1, 2, 2, 2, 2, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930678
    {'cdim': 4, 'counter': 36, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4k', 'multiplicity': 6, 'nt': [84, 0], 'qdim': 24, 'qvalues': [24, 24, -24, 0, 0, -12, -12, 6, 0, 0, 0, 0, 0, -12, -12, -6, -6, 12, 6, 12, 0, 0, -4, -4, -4, 0, 0, -4, -4, -4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, -2, 1, 1, -2, -2, 1, 1, -2, 1, 1, -1, 1, 2, -1, -1, -1, 1, 1, -2, -2, -2, -2, -1, -2, 1, -2, 2, -2, 2, -1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4930679
    {'cdim': 4, 'counter': 37, 'faithful': True, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4l', 'multiplicity': 6, 'nt': [168, 0], 'qdim': 24, 'qvalues': [24, -24, 0, 0, 0, -12, -12, 6, 0, 0, 0, 0, 0, 12, 12, -18, 18, 0, -6, 0, 0, 0, -4, -4, -4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 0, 0, 0, -2, -2, -2, -2, -2, -2, -3, 0, -3, -3, 0, 0, 3, 3, 0, -3, -3, 1, 3, -2, 1, 1, 1, -3, 3, 0, 0, 0, 0, 1, 0, 3, 0, -2, 0, -2, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4930680
    {'cdim': 4, 'counter': 38, 'faithful': True, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4m', 'multiplicity': 6, 'nt': [168, 0], 'qdim': 24, 'qvalues': [24, -24, 0, 0, 0, -12, -12, 6, 0, 0, 0, 0, 0, 12, 12, 18, -18, 0, -6, 0, 0, 0, -4, -4, -4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 0, 0, 0, -2, -2, -2, -2, -2, -2, 3, 0, 3, 3, 0, 0, -3, -3, 0, 3, 3, 1, -3, -2, 1, 1, 1, 3, -3, 0, 0, 0, 0, 1, 0, -3, 0, -2, 0, -2, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4930681
    {'cdim': 4, 'counter': 39, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4n', 'multiplicity': 6, 'nt': [168, 0], 'qdim': 24, 'qvalues': [24, -24, 0, 0, 0, -12, 24, -12, 0, 0, 0, 0, 0, 12, -24, 0, 0, 0, 12, 0, 0, 0, -4, -4, -4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4930683
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '1008.787', 'group_order': 1008, 'image': None, 'label': '1008.787.4o', 'multiplicity': 6, 'nt': [168, 0], 'qdim': 24, 'qvalues': [24, -24, 0, 0, 0, 24, -12, -12, 0, 0, 0, 0, 0, -24, 12, 0, 0, 0, 12, 0, 0, 0, -4, -4, -4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, -4, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 8222733
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1008, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1008, 'label': '1008.787.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 8222750
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1008, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 504, 'label': '1008.787.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 8222761
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1008, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 504, 'label': '1008.787.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 8222772
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1008, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 504, 'label': '1008.787.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 8222783
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1008, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 504, 'label': '1008.787.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 8222794
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1008, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 504, 'label': '1008.787.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 8222805
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1008, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 504, 'label': '1008.787.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 8222816
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1008, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 504, 'label': '1008.787.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 8222827
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 168, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.b1.a1', 'kernel_order': 168, 'label': '1008.787.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222734
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 168, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 168, 'label': '1008.787.2b', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 8222741
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 168, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.e1.a1', 'kernel_order': 84, 'label': '1008.787.2c', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 8222742
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 168, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.f1.a1', 'kernel_order': 84, 'label': '1008.787.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222743
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 168, 'counter': 13, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.d1.a1', 'kernel_order': 84, 'label': '1008.787.2e', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222744
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 168, 'counter': 14, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1.a1', 'kernel_order': 84, 'label': '1008.787.2f', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 8222745
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 168, 'counter': 15, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 84, 'label': '1008.787.2g', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 8222746
    {'center': '6.b1.a1', 'center_index': 6, 'center_order': 168, 'counter': 16, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 84, 'label': '1008.787.2h', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222747
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 252, 'counter': 17, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 63, 'label': '1008.787.2i1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222748
    {'center': '4.f1.a1', 'center_index': 4, 'center_order': 252, 'counter': 18, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 63, 'label': '1008.787.2i2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222749
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 19, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 72, 'label': '1008.787.2j1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 8222751
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 20, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 72, 'label': '1008.787.2j2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 8222752
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 21, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 72, 'label': '1008.787.2j3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 8222753
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 22, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 36, 'label': '1008.787.2k1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 8222754
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 23, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 36, 'label': '1008.787.2k2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 8222755
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 24, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 36, 'label': '1008.787.2k3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 8222756
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 25, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 36, 'label': '1008.787.2l1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 8222757
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 26, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 36, 'label': '1008.787.2l2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 8222758
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 27, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 36, 'label': '1008.787.2l3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 8222759
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 28, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 36, 'label': '1008.787.2m1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 8222760
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 29, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 36, 'label': '1008.787.2m2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 8222762
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 72, 'counter': 30, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 36, 'label': '1008.787.2m3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 8222763
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 31, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '42.5', 'image_order': 42, 'indicator': 1, 'kernel': '42.a1.a1', 'kernel_order': 24, 'label': '1008.787.2n1', 'nt': [21, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 5], [1, -5]]]}
  • id: 8222764
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 32, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '42.5', 'image_order': 42, 'indicator': 1, 'kernel': '42.a1.a1', 'kernel_order': 24, 'label': '1008.787.2n2', 'nt': [21, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 8222765
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 33, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '42.5', 'image_order': 42, 'indicator': 1, 'kernel': '42.a1.a1', 'kernel_order': 24, 'label': '1008.787.2n3', 'nt': [21, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 8222766
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 34, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '42.5', 'image_order': 42, 'indicator': 1, 'kernel': '42.a1.a1', 'kernel_order': 24, 'label': '1008.787.2n4', 'nt': [21, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 8], [1, -8]]]}
  • id: 8222767
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 35, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '42.5', 'image_order': 42, 'indicator': 1, 'kernel': '42.a1.a1', 'kernel_order': 24, 'label': '1008.787.2n5', 'nt': [21, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 10], [1, -10]]]}
  • id: 8222768
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 36, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '42.5', 'image_order': 42, 'indicator': 1, 'kernel': '42.a1.a1', 'kernel_order': 24, 'label': '1008.787.2n6', 'nt': [21, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]]]}
  • id: 8222769
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 37, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.d1.a1', 'kernel_order': 12, 'label': '1008.787.2o1', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 8], [-1, -8]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 5], [1, -5]]]}
  • id: 8222770
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 38, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.d1.a1', 'kernel_order': 12, 'label': '1008.787.2o2', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 8222771
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 39, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.d1.a1', 'kernel_order': 12, 'label': '1008.787.2o3', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 8222773
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 40, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.d1.a1', 'kernel_order': 12, 'label': '1008.787.2o4', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 10], [1, -10]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 8], [1, -8]]]}
  • id: 8222774
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 41, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.d1.a1', 'kernel_order': 12, 'label': '1008.787.2o5', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 5], [-1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 10], [1, -10]]]}
  • id: 8222775
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 42, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.d1.a1', 'kernel_order': 12, 'label': '1008.787.2o6', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 5], [1, -5]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 10], [-1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]]]}
  • id: 8222776
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 43, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.c1.a1', 'kernel_order': 12, 'label': '1008.787.2p1', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 8], [-1, -8]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]]]}
  • id: 8222777
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 44, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.c1.a1', 'kernel_order': 12, 'label': '1008.787.2p2', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 8222778
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 45, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.c1.a1', 'kernel_order': 12, 'label': '1008.787.2p3', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 8222779
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 46, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.c1.a1', 'kernel_order': 12, 'label': '1008.787.2p4', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 10], [1, -10]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]]]}
  • id: 8222780
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 47, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.c1.a1', 'kernel_order': 12, 'label': '1008.787.2p5', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 5], [-1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]]]}
  • id: 8222781
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 48, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.c1.a1', 'kernel_order': 12, 'label': '1008.787.2p6', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 5], [1, -5]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[-1, 10], [-1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]]]}
  • id: 8222782
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 49, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 12, 'label': '1008.787.2q1', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]]]}
  • id: 8222784
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 50, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 12, 'label': '1008.787.2q2', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 8222785
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 51, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 12, 'label': '1008.787.2q3', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 8222786
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 52, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 12, 'label': '1008.787.2q4', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]]]}
  • id: 8222787
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 53, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 12, 'label': '1008.787.2q5', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]]]}
  • id: 8222788
    {'center': '42.a1.a1', 'center_index': 42, 'center_order': 24, 'counter': 54, 'cyclotomic_n': 21, 'dim': 2, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.14', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 12, 'label': '1008.787.2q6', 'nt': [42, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]]]}
  • id: 8222789
    {'center': '36.a1.a1', 'center_index': 36, 'center_order': 28, 'counter': 55, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '36.10', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1.a1', 'kernel_order': 28, 'label': '1008.787.4a', 'nt': [6, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222790
    {'center': '36.a1.a1', 'center_index': 36, 'center_order': 28, 'counter': 56, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '72.46', 'image_order': 72, 'indicator': 1, 'kernel': '72.a1.a1', 'kernel_order': 14, 'label': '1008.787.4b', 'nt': [12, 37], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222791
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 42, 'counter': 57, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '48.39', 'image_order': 48, 'indicator': -1, 'kernel': '48.b1.a1', 'kernel_order': 21, 'label': '1008.787.4c', 'nt': [24, 18], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222792
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 42, 'counter': 58, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '48.39', 'image_order': 48, 'indicator': -1, 'kernel': '48.a1.a1', 'kernel_order': 21, 'label': '1008.787.4d', 'nt': [24, 18], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222793
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 14, 'counter': 59, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '144.148', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1.a1', 'kernel_order': 7, 'label': '1008.787.4e', 'nt': [24, 206], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-3, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222795
    {'center': '72.a1.a1', 'center_index': 72, 'center_order': 14, 'counter': 60, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '144.148', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1.a1', 'kernel_order': 7, 'label': '1008.787.4f', 'nt': [24, 206], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[3, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222796
    {'center': '84.b1.a1', 'center_index': 84, 'center_order': 12, 'counter': 61, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.b1.a1', 'kernel_order': 12, 'label': '1008.787.4g1', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222797
    {'center': '84.b1.a1', 'center_index': 84, 'center_order': 12, 'counter': 62, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.b1.a1', 'kernel_order': 12, 'label': '1008.787.4g2', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222798
    {'center': '84.b1.a1', 'center_index': 84, 'center_order': 12, 'counter': 63, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.b1.a1', 'kernel_order': 12, 'label': '1008.787.4g3', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222799
    {'center': '84.b1.a1', 'center_index': 84, 'center_order': 12, 'counter': 64, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1.a1', 'kernel_order': 6, 'label': '1008.787.4h1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-2, 1], [-2, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222800
    {'center': '84.b1.a1', 'center_index': 84, 'center_order': 12, 'counter': 65, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1.a1', 'kernel_order': 6, 'label': '1008.787.4h2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 3], [-2, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222801
    {'center': '84.b1.a1', 'center_index': 84, 'center_order': 12, 'counter': 66, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1.a1', 'kernel_order': 6, 'label': '1008.787.4h3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 2], [-2, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222802
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 18, 'counter': 67, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '112.32', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 9, 'label': '1008.787.4i1', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222803
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 18, 'counter': 68, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '112.32', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 9, 'label': '1008.787.4i2', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222804
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 18, 'counter': 69, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '112.32', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 9, 'label': '1008.787.4i3', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222806
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 70, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '252.36', 'image_order': 252, 'indicator': 1, 'kernel': '252.a1.a1', 'kernel_order': 4, 'label': '1008.787.4j1', 'nt': [42, 51], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[2, 4], [2, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[2, 2], [2, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222807
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '252.36', 'image_order': 252, 'indicator': 1, 'kernel': '252.a1.a1', 'kernel_order': 4, 'label': '1008.787.4j2', 'nt': [42, 51], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[2, 10], [2, -10]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[2, 5], [2, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222808
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 72, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '252.36', 'image_order': 252, 'indicator': 1, 'kernel': '252.a1.a1', 'kernel_order': 4, 'label': '1008.787.4j3', 'nt': [42, 51], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[2, 5], [2, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[2, 8], [2, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222809
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 73, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '252.36', 'image_order': 252, 'indicator': 1, 'kernel': '252.a1.a1', 'kernel_order': 4, 'label': '1008.787.4j4', 'nt': [42, 51], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[2, 2], [2, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222810
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '252.36', 'image_order': 252, 'indicator': 1, 'kernel': '252.a1.a1', 'kernel_order': 4, 'label': '1008.787.4j5', 'nt': [42, 51], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[2, 8], [2, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[2, 4], [2, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222811
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '252.36', 'image_order': 252, 'indicator': 1, 'kernel': '252.a1.a1', 'kernel_order': 4, 'label': '1008.787.4j6', 'nt': [42, 51], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[2, 10], [2, -10]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222812
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 76, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '504.192', 'image_order': 504, 'indicator': 1, 'kernel': '504.a1.a1', 'kernel_order': 2, 'label': '1008.787.4k1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[-2, 4], [-2, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 8], [1, -8]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-2, 2], [-2, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222813
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 77, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '504.192', 'image_order': 504, 'indicator': 1, 'kernel': '504.a1.a1', 'kernel_order': 2, 'label': '1008.787.4k2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-2, 10], [-2, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-1, 8], [-1, -8]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-2, 5], [-2, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222814
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 78, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '504.192', 'image_order': 504, 'indicator': 1, 'kernel': '504.a1.a1', 'kernel_order': 2, 'label': '1008.787.4k3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-2, 5], [-2, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 10], [1, -10]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-1, 4], [-1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-2, 8], [-2, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222815
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '504.192', 'image_order': 504, 'indicator': 1, 'kernel': '504.a1.a1', 'kernel_order': 2, 'label': '1008.787.4k4', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[-2, 2], [-2, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-1, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222817
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '504.192', 'image_order': 504, 'indicator': 1, 'kernel': '504.a1.a1', 'kernel_order': 2, 'label': '1008.787.4k5', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-2, 8], [-2, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 5], [1, -5]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-2, 4], [-2, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222818
    {'center': '252.a1.a1', 'center_index': 252, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '504.192', 'image_order': 504, 'indicator': 1, 'kernel': '504.a1.a1', 'kernel_order': 2, 'label': '1008.787.4k6', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[-2, 1], [-2, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-1, 5], [-1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-2, 10], [-2, -10]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222819
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 82, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4l1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[0, 0]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[1, 5], [1, -5]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 6], [1, -6]], [[0, 0]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222820
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 83, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4l2', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[-2, 10], [-2, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[0, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 6], [1, -6]], [[0, 0]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222821
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 84, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4l3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[0, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[1, 1], [1, -1]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 3], [1, -3]], [[0, 0]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222822
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 85, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4l4', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 10], [-2, -10]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[0, 0]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 3], [1, -3]], [[0, 0]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222823
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 86, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4l5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 10], [-2, -10]], [[-2, 8], [-2, -8]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[0, 0]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[1, 10], [1, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 9], [1, -9]], [[0, 0]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222824
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 87, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4l6', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[0, 0]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 9], [1, -9]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222825
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 88, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4m1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[0, 0]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[1, 5], [1, -5]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 6], [1, -6]], [[0, 0]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222826
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 89, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4m2', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[-2, 10], [-2, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[0, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 6], [1, -6]], [[0, 0]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222828
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 90, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4m3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[0, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[1, 1], [1, -1]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 3], [1, -3]], [[0, 0]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222829
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 91, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4m4', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 10], [-2, -10]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[0, 0]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 3], [1, -3]], [[0, 0]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222830
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 92, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4m5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 10], [-2, -10]], [[-2, 8], [-2, -8]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[0, 0]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[1, 10], [1, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 9], [1, -9]], [[0, 0]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222831
    {'center': '504.a1.a1', 'center_index': 504, 'center_order': 2, 'counter': 93, 'cyclotomic_n': 21, 'dim': 4, 'faithful': True, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '1008.787', 'image_order': 1008, 'indicator': -1, 'kernel': '1008.a1.a1', 'kernel_order': 1, 'label': '1008.787.4m6', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 8], [-1, 9], [-1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 5], [-2, 6], [-1, 7], [3, 8], [-1, 10], [1, -10]], [[-2, 3], [2, 4], [-1, 10], [1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[0, 0]], [[1, 3], [-1, 4], [-1, 10], [-2, -10]], [[-2, 0], [2, 1], [-1, 2], [-2, 3], [2, 4], [1, 5], [-2, 6], [2, 8], [-1, 9], [2, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-1, 3], [1, 4], [1, 10], [2, -10]], [[2, 0], [-2, 1], [1, 2], [2, 3], [-2, 4], [-1, 5], [2, 6], [-2, 8], [1, 9], [-2, -10]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 8], [1, 9], [1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [-1, 2], [1, 3], [-1, 5], [-1, 6], [1, 7], [1, 10], [-1, -10]], [[-1, 0], [-2, 1], [1, 2], [-1, 3], [1, 5], [1, 6], [-1, 7], [-1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 5], [2, 6], [1, 7], [-3, 8], [1, 10], [-1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 9], [1, -9]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[2, 3], [-2, 4], [1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222832
    {'center': '168.b1.a1', 'center_index': 168, 'center_order': 6, 'counter': 94, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.153', 'image_order': 336, 'indicator': -1, 'kernel': '336.b1.a1', 'kernel_order': 3, 'label': '1008.787.4n1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[0, 0]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 9], [1, -9]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 6], [1, -6]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222833
    {'center': '168.b1.a1', 'center_index': 168, 'center_order': 6, 'counter': 95, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.153', 'image_order': 336, 'indicator': -1, 'kernel': '336.b1.a1', 'kernel_order': 3, 'label': '1008.787.4n2', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[0, 0]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 9], [1, -9]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 6], [1, -6]], [[0, 0]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222834
    {'center': '168.b1.a1', 'center_index': 168, 'center_order': 6, 'counter': 96, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.153', 'image_order': 336, 'indicator': -1, 'kernel': '336.b1.a1', 'kernel_order': 3, 'label': '1008.787.4n3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[0, 0]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 3], [1, -3]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222835
    {'center': '168.b1.a1', 'center_index': 168, 'center_order': 6, 'counter': 97, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.153', 'image_order': 336, 'indicator': -1, 'kernel': '336.b1.a1', 'kernel_order': 3, 'label': '1008.787.4n4', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[0, 0]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 3], [1, -3]], [[0, 0]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222836
    {'center': '168.b1.a1', 'center_index': 168, 'center_order': 6, 'counter': 98, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.153', 'image_order': 336, 'indicator': -1, 'kernel': '336.b1.a1', 'kernel_order': 3, 'label': '1008.787.4n5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[0, 0]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[1, 9], [1, -9]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222837
    {'center': '168.b1.a1', 'center_index': 168, 'center_order': 6, 'counter': 99, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.153', 'image_order': 336, 'indicator': -1, 'kernel': '336.b1.a1', 'kernel_order': 3, 'label': '1008.787.4n6', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 6], [-2, -6]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[0, 0]], [[1, 3], [-1, 4], [2, 10], [1, -10]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 3], [1, -3]], [[-1, 0], [1, 1], [-2, 2], [-1, 3], [1, 4], [2, 5], [-1, 6], [1, 8], [-2, 9], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[-2, 0], [-1, 1], [2, 2], [-2, 3], [2, 5], [-1, 6], [-2, 7], [3, 8], [-2, 10], [2, -10]], [[2, 0], [1, 1], [-2, 2], [2, 3], [-2, 5], [1, 6], [2, 7], [-3, 8], [2, 10], [-2, -10]], [[1, 9], [1, -9]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [2, 2], [1, 3], [-1, 4], [-2, 5], [1, 6], [-1, 8], [2, 9], [-1, -10]], [[-1, 3], [1, 4], [-2, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222735
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 6, 'counter': 100, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.199', 'image_order': 336, 'indicator': -1, 'kernel': '336.a1.a1', 'kernel_order': 3, 'label': '1008.787.4o1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 6], [2, -6]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222736
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 6, 'counter': 101, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.199', 'image_order': 336, 'indicator': -1, 'kernel': '336.a1.a1', 'kernel_order': 3, 'label': '1008.787.4o2', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 8], [2, -8]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 1], [2, -1]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222737
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 6, 'counter': 102, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.199', 'image_order': 336, 'indicator': -1, 'kernel': '336.a1.a1', 'kernel_order': 3, 'label': '1008.787.4o3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222738
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 6, 'counter': 103, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.199', 'image_order': 336, 'indicator': -1, 'kernel': '336.a1.a1', 'kernel_order': 3, 'label': '1008.787.4o4', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 10], [-2, -10]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8], [-2, -8]], [[0, 0]], [[-2, 9], [-2, -9]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222739
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 6, 'counter': 104, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.199', 'image_order': 336, 'indicator': -1, 'kernel': '336.a1.a1', 'kernel_order': 3, 'label': '1008.787.4o5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 9], [2, -9]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 10], [-2, -10]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8222740
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 6, 'counter': 105, 'cyclotomic_n': 21, 'dim': 4, 'faithful': False, 'field': [1, -8, 8, 6, -6, -1, 1], 'group': '1008.787', 'group_counter': 787, 'group_order': 1008, 'image': None, 'image_isoclass': '336.199', 'image_order': 336, 'indicator': -1, 'kernel': '336.a1.a1', 'kernel_order': 3, 'label': '1008.787.4o6', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 9], [2, -9]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9], [-2, -9]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 69462019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1008, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '1008.787.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1008.787', 'subgroup_hash': 787, 'subgroup_order': 1008, 'subgroup_tex': 'D_6.D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 504, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '504.137', 'subgroup_hash': 137, 'subgroup_order': 504, 'subgroup_tex': 'D_6:C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 504, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '504.142', 'subgroup_hash': 142, 'subgroup_order': 504, 'subgroup_tex': 'D_{42}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462129
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 504, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '504.151', 'subgroup_hash': 151, 'subgroup_order': 504, 'subgroup_tex': 'C_6.D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 504, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '504.114', 'subgroup_hash': 114, 'subgroup_order': 504, 'subgroup_tex': 'D_6:D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462151
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 504, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '504.112', 'subgroup_hash': 112, 'subgroup_order': 504, 'subgroup_tex': 'C_6.D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462162
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 504, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '504.111', 'subgroup_hash': 111, 'subgroup_order': 504, 'subgroup_tex': 'C_6.D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 504, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '504.117', 'subgroup_hash': 117, 'subgroup_order': 504, 'subgroup_tex': 'C_6.D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 168, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.199', 'subgroup_hash': 199, 'subgroup_order': 336, 'subgroup_tex': 'D_4:D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 168, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.3.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.153', 'subgroup_hash': 153, 'subgroup_order': 336, 'subgroup_tex': 'D_6.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462031
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 252, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '252.46', 'subgroup_hash': 46, 'subgroup_order': 252, 'subgroup_tex': 'C_6\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462042
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 252, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '252.42', 'subgroup_hash': 42, 'subgroup_order': 252, 'subgroup_tex': 'S_3\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462053
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 252, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '252.43', 'subgroup_hash': 43, 'subgroup_order': 252, 'subgroup_tex': 'C_3\\times D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462064
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 252, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '252.21', 'subgroup_hash': 21, 'subgroup_order': 252, 'subgroup_tex': 'C_3:C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 69462075
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 252, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '252.22', 'subgroup_hash': 22, 'subgroup_order': 252, 'subgroup_tex': 'C_{21}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 69462086
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 252, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '252.24', 'subgroup_hash': 24, 'subgroup_order': 252, 'subgroup_tex': 'C_6.D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 252, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '252.24', 'subgroup_hash': 24, 'subgroup_order': 252, 'subgroup_tex': 'C_6.D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 168, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '168.33', 'subgroup_hash': 33, 'subgroup_order': 168, 'subgroup_tex': 'D_6:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 168, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '168.38', 'subgroup_hash': 38, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': False, 'core_order': 84, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.40', 'subgroup_hash': 40, 'subgroup_order': 168, 'subgroup_tex': 'D_4\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 84, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.28', 'subgroup_hash': 28, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462110
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.37', 'subgroup_hash': 37, 'subgroup_order': 168, 'subgroup_tex': 'C_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462111
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.37', 'subgroup_hash': 37, 'subgroup_order': 168, 'subgroup_tex': 'C_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462112
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.37', 'subgroup_hash': 37, 'subgroup_order': 168, 'subgroup_tex': 'C_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 84, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.38', 'subgroup_hash': 38, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.37', 'subgroup_hash': 37, 'subgroup_order': 168, 'subgroup_tex': 'C_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 84, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.15', 'subgroup_hash': 15, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 84, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.13', 'subgroup_hash': 13, 'subgroup_order': 168, 'subgroup_tex': 'C_6.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462117
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 84, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.12', 'subgroup_hash': 12, 'subgroup_order': 168, 'subgroup_tex': 'C_6.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462119
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.35', 'subgroup_hash': 35, 'subgroup_order': 168, 'subgroup_tex': 'C_4\\times D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 84, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.18', 'subgroup_hash': 18, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69462121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 84, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.6.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.34', 'subgroup_hash': 34, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69462122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 72, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1008.787.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.148', 'subgroup_hash': 148, 'subgroup_order': 144, 'subgroup_tex': 'D_6.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462123
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 126, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['D', 'S', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '126.16', 'subgroup_hash': 16, 'subgroup_order': 126, 'subgroup_tex': 'C_3\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 63, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '126.16', 'subgroup_hash': 16, 'subgroup_order': 126, 'subgroup_tex': 'C_3\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462125
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': False, 'core_order': 63, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '126.12', 'subgroup_hash': 12, 'subgroup_order': 126, 'subgroup_tex': 'S_3\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462126
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 63, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '126.13', 'subgroup_hash': 13, 'subgroup_order': 126, 'subgroup_tex': 'C_3\\times D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 28, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '1008.787.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.32', 'subgroup_hash': 32, 'subgroup_order': 112, 'subgroup_tex': 'D_4:D_7', 'supersolvable': True, 'sylow': 0}
  • id: 69462128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 84, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462130
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 84, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462131
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 84, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.13', 'subgroup_hash': 13, 'subgroup_order': 84, 'subgroup_tex': 'S_3\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462132
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 84, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.14', 'subgroup_hash': 14, 'subgroup_order': 84, 'subgroup_tex': 'D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462133
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 84, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 69462134
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 84, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462135
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 28, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462136
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 42, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 42, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462138
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 42, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 69462139
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462141
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462142
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 42, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.12.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 69462143
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 42, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462144
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462145
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462146
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.12.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 72, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69462148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 36, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69462149
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 36, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.34', 'subgroup_hash': 34, 'subgroup_order': 72, 'subgroup_tex': 'C_6.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.14.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.22', 'subgroup_hash': 22, 'subgroup_order': 72, 'subgroup_tex': 'D_6:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462152
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.14.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.20', 'subgroup_hash': 20, 'subgroup_order': 72, 'subgroup_tex': 'C_6.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462153
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.14.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.20', 'subgroup_hash': 20, 'subgroup_order': 72, 'subgroup_tex': 'C_6.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.14.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.24', 'subgroup_hash': 24, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69462155
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 63, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 21, 'label': '1008.787.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': ['L2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '63.4', 'subgroup_hash': 4, 'subgroup_order': 63, 'subgroup_tex': 'C_3\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': False, 'core_order': 28, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.9', 'subgroup_hash': 9, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 28, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.18.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462158
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.18.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 14, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.18.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462160
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.18.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462161
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.18.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.4', 'subgroup_hash': 4, 'subgroup_order': 56, 'subgroup_tex': 'C_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 69462163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 14, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.18.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69462164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 12, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.21.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': 39, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 24, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.21.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': 39, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462166
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 42, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462167
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 42, 'counter': 74, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462168
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 14, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462169
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 21, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462170
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 21, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462171
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 7, 'counter': 78, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462172
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 7, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.24.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462174
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 21, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 69462175
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': False, 'core_order': 21, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.3', 'subgroup_hash': 3, 'subgroup_order': 42, 'subgroup_tex': 'S_3\\times C_7', 'supersolvable': True, 'sylow': 0}
  • id: 69462176
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 21, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.4', 'subgroup_hash': 4, 'subgroup_order': 42, 'subgroup_tex': 'C_3\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 69462177
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 21, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.5', 'subgroup_hash': 5, 'subgroup_order': 42, 'subgroup_tex': 'D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462178
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 36, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 69462179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 36, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462180
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 36, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 69462181
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 18, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.28.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 18, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.28.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 69462183
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 18, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.28.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.7', 'subgroup_hash': 7, 'subgroup_order': 36, 'subgroup_tex': 'C_3^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 18, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.28.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.7', 'subgroup_hash': 7, 'subgroup_order': 36, 'subgroup_tex': 'C_3^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462186
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 28, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462187
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 14, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462188
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 14, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.36.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462189
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 14, 'counter': 94, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.36.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 69462190
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 14, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.36.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462191
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.36.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462192
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.36.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': True, 'core_order': 24, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.42.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '42.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '42.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 42, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{21}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': False, 'core_order': 12, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 12, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 12, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462023
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462024
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 6, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462027
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 12, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462029
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462030
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462032
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 12, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69462034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 6, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.42.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69462035
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 21, 'counter': 113, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462036
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 21, 'counter': 114, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462037
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 7, 'counter': 115, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 69462038
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 18, 'counter': 116, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462039
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 9, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.56.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462040
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 42, 'characteristic': False, 'core_order': 9, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.56.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462041
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 9, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.56.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1008.787.63.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '63.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 63, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 69462044
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 14, 'counter': 121, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.46', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462045
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 7, 'counter': 122, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.72.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462046
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 7, 'counter': 123, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.72.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 69462047
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 7, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.72.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 69462048
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 12, 'counter': 125, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.84.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '84.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{42}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462049
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 12, 'counter': 126, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.84.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '84.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462050
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 12, 'counter': 127, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.84.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '84.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '84.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{42}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462051
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 12, 'counter': 128, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.84.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '84.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '84.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{42}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462052
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 4, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462054
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 6, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462055
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462056
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462057
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 133, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.84.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 69462058
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462059
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462060
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 6, 'counter': 136, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.84.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 69462061
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462062
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462063
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462065
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462066
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.84.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462067
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': True, 'core_order': 9, 'counter': 142, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '1008.787.112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 69462068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 4, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.126.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '126.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 4, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.126.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '126.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462070
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.126.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '126.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.126.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '126.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462072
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.126.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '126.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.126.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '126.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.126.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '126.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69462076
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 7, 'counter': 150, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '1008.787.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.148', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 148, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6.D_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 69462077
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 6, 'counter': 151, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.168.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '168.56', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 56, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{42}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462078
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 6, 'counter': 152, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.168.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '168.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462079
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 2, 'counter': 153, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.168.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462080
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 3, 'counter': 154, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.168.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462081
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 3, 'counter': 155, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.168.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462082
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.168.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462083
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.168.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462084
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 3, 'counter': 158, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.168.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462085
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 3, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.168.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462087
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 3, 'counter': 160, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.168.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 69462088
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 3, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.168.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462089
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 4, 'counter': 162, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1008.787.252.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '252.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '252.36', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 252, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{21}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 69462090
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 2, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.252.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '252.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 69462091
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1008.787.252.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '252.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 69462092
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 2, 'counter': 165, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.252.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '252.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462093
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 166, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.252.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '252.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462094
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 167, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.252.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '252.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462095
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 168, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.252.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '252.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69462096
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 3, 'counter': 169, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.336.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '336.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.199', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 199, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_{21}', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462098
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': True, 'core_order': 3, 'counter': 170, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.336.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '336.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.153', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 153, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6.D_{14}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462099
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 252, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.336.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 69462100
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': True, 'central_factor': False, 'centralizer_order': 1008, 'characteristic': True, 'core_order': 2, 'counter': 172, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1008.787.504.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '504.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '504.192', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 192, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 504, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{42}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69462101
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 504, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.504.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '504.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69462102
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.504.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '504.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69462103
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1008.787.504.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '504.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69462104
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1008.787', 'ambient_counter': 787, 'ambient_order': 1008, 'ambient_tex': 'D_6.D_{42}', 'central': True, 'central_factor': False, 'centralizer_order': 1008, 'characteristic': True, 'core_order': 1, 'counter': 176, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1008.787.1008.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1008.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1008.787', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 787, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1008, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6.D_{42}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 69462045
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2016, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '24.e1.a1', '24.f1.a1', '24.f1.b1', '36.a1.a1'], 'contains': ['144.a1.a1', '504.b1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8786, -1, 695, -1, 1460, -1, 1760, -1], 'generators': [42, 12], 'label': '1008.787.72.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '72.b1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462046
    {'ambient': '1008.787', 'aut_centralizer_order': 336, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2016, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '24.h1.a1', '36.b1.a1'], 'contains': ['144.a1.a1', '504.c1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8411, -1, 2158, -1, 2497, -1, 2138, -1], 'generators': [126, 12], 'label': '1008.787.72.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.i1.a1', 'old_label': '72.c1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462019
    {'ambient': '1008.787', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.a1.a1', 'complements': ['1008.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '3.a1.a1', '3.b1.a1', '7.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3228, 4816, 6486, 4626, 4446, 4305, 3500, 4307], 'generators': [1, 336, 84, 168, 42, 12, 28], 'label': '1008.787.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '504.192'}
  • id: 69462020
    {'ambient': '1008.787', 'aut_centralizer_order': 2, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.d1.a1', '6.e1.a1', '6.j1.a1', '6.k1.a1', '6.l1.a1', '6.n1.a1', '9.a1.a1', '21.b1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3722, -1, 8555, -1, 7731, -1, 3384, -1], 'generators': [1, 12, 84, 168, 42, 336], 'label': '1008.787.3.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '3.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.b1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 69462021
    {'ambient': '1008.787', 'aut_centralizer_order': 72, 'aut_label': '42.c1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1512, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '14.b1.a1', '21.b1.a1'], 'contains': ['84.a1.a1', '84.g1.a1', '84.i1.a1', '126.b1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5415, -1, 4004, -1, 6399, -1, 6253, -1], 'generators': [1, 42, 336, 168], 'label': '1008.787.42.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '42.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 69462022
    {'ambient': '1008.787', 'aut_centralizer_order': 72, 'aut_label': '42.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '14.b1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.h1.a1', '84.m1.a1', '126.b1.a1'], 'core': '84.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1542, -1, 3304, -1, 1704, -1, 5963, -1], 'generators': [1, 42, 168, 28], 'label': '1008.787.42.d1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '42.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462023
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.e1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '14.c1.a1', '21.b1.a1'], 'contains': ['84.a1.a1', '84.j1.a1', '84.k1.a1', '126.c1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [4331, -1, 9206, -1, 7591, -1, 9479, -1], 'generators': [85, 42, 168, 336], 'label': '1008.787.42.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '42.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462024
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.f1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '14.c1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.n1.a1', '84.o1.a1', '126.c1.a1'], 'core': '84.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2462, -1, 7083, -1, 3644, -1, 9234, -1], 'generators': [85, 42, 168, 28], 'label': '1008.787.42.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462025
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '42.g1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '14.c1.a1'], 'contains': ['84.e1.a1', '84.p1.a1', '84.q1.a1', '126.c1.a1'], 'core': '252.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [6079, -1, 5629, -1, 2070, -1, 9891, -1], 'generators': [85, 42, 168, 364], 'label': '1008.787.42.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.g1.a1', 'old_label': '42.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 69462026
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.h1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.a1', '14.d1.a1', '21.a1.a1'], 'contains': ['84.f1.a1', '84.h1.a1', '84.o1.a1', '126.d1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3854, -1, 4676, -1, 3112, -1, 6956, -1], 'generators': [1, 126, 168, 28], 'label': '1008.787.42.h1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.h1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.h1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462027
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.i1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '252.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.i1.a1', '14.e1.a1', '21.a1.a1'], 'contains': ['84.f1.a1', '84.m1.a1', '84.n1.a1', '126.e1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [458, -1, 7395, -1, 4851, -1, 7417, -1], 'generators': [85, 126, 168, 28], 'label': '1008.787.42.i1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.i1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.i1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462028
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.j1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.j1.a1', '14.d1.a1', '21.b1.a1'], 'contains': ['84.c1.a1', '84.g1.a1', '84.k1.a1', '126.d1.a1'], 'core': '84.c1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [6579, -1, 6176, -1, 7225, -1, 7091, -1], 'generators': [1, 126, 168, 336], 'label': '1008.787.42.j1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '42.j1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.j1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462029
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.k1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '252.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.k1.a1', '14.e1.a1', '21.b1.a1'], 'contains': ['84.c1.a1', '84.i1.a1', '84.j1.a1', '126.e1.a1'], 'core': '84.c1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2819, -1, 8962, -1, 8951, -1, 7639, -1], 'generators': [85, 126, 168, 336], 'label': '1008.787.42.k1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '42.k1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462030
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.l1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '252.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.l1.a1', '14.f1.a1', '21.b1.a1'], 'contains': ['84.d1.a1', '84.g1.a1', '84.j1.a1', '126.f1.a1'], 'core': '84.d1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3184, -1, 9913, -1, 9374, -1, 8823, -1], 'generators': [1, 84, 168, 336], 'label': '1008.787.42.l1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '42.l1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.l1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462031
    {'ambient': '1008.787', 'aut_centralizer_order': 252, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 252, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '12.a1.a1', '12.b1.a1', '12.g1.a1', '28.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8479, 1179, 2005, 1217, 1209, 4186, 1187, 4188], 'generators': [42, 28, 336, 168, 12], 'label': '1008.787.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '28.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462032
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.m1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '252.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.m1.a1', '14.f1.a1', '21.a1.a1'], 'contains': ['84.h1.a1', '84.l1.a1', '84.n1.a1', '126.f1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1363, -1, 7942, -1, 5073, -1, 8601, -1], 'generators': [1, 84, 168, 28], 'label': '1008.787.42.m1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.m1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.m1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462033
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.n1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.n1.a1', '14.g1.a1', '21.b1.a1'], 'contains': ['84.d1.a1', '84.i1.a1', '84.k1.a1', '126.g1.a1'], 'core': '84.d1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2141, -1, 8614, -1, 9700, -1, 8434, -1], 'generators': [75, 84, 168, 336], 'label': '1008.787.42.n1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '42.n1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.n1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462034
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '42.o1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.o1.a1', '14.g1.a1', '21.a1.a1'], 'contains': ['84.l1.a1', '84.m1.a1', '84.o1.a1', '126.g1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [58, -1, 6461, -1, 5485, -1, 8052, -1], 'generators': [75, 84, 168, 28], 'label': '1008.787.42.o1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.o1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.o1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462035
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': ['21.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.d1.a1', '24.h1.a1', '24.i1.a1'], 'contains': ['144.a1.a1', '336.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9149, 3904, 1538, 3989, 2262, 5242, 1630, 5127], 'generators': [336, 12], 'label': '1008.787.48.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['144.a1.a1', '336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '1008.787', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462036
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '48.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '2.a1.a1', 'complements': ['21.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.b1.a1', '24.e1.a1', '24.g1.a1', '24.j1.a1'], 'contains': ['144.a1.a1', '336.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7768, 2409, 811, 2431, 1710, 2998, 1501, 3438], 'generators': [28, 12], 'label': '1008.787.48.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.a1'], 'normal_contains': ['144.a1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '1008.787', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.8', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462037
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.c1.a1', '24.f1.a1', '24.f1.b1'], 'contains': ['144.a1.a1', '336.c1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9567, -1, 244, -1, 1225, -1, 1889, -1], 'generators': [364, 12], 'label': '1008.787.48.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.c1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462038
    {'ambient': '1008.787', 'aut_centralizer_order': 3024, 'aut_label': '56.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1', '28.d1.a1', '28.e1.a1', '28.f1.a1', '28.g1.a1'], 'contains': ['112.a1.a1', '168.a1.a1', '168.b1.a1', '168.c1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8024, 6075, 2659, 6535, 3403, 5630, 7386, 6559], 'generators': [168, 28, 336], 'label': '1008.787.56.a1.a1', 'mobius_quo': -1, 'mobius_sub': 56, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1'], 'normal_contains': ['112.a1.a1', '168.a1.a1', '168.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462039
    {'ambient': '1008.787', 'aut_centralizer_order': 1512, 'aut_label': '56.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.a1.a1'], 'contains': ['112.a1.a1', '168.d1.a1', '168.e1.a1', '168.f1.a1', '168.f1.b1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9677, -1, 367, -1, 876, -1, 2372, -1], 'generators': [42, 28, 336], 'label': '1008.787.56.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '56.b1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462040
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '56.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.b1.a1'], 'contains': ['112.a1.a1', '168.g1.a1', '168.h1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9463, -1, 1830, -1, 1904, -1, 2572, -1], 'generators': [126, 28, 336], 'label': '1008.787.56.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '56.c1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462041
    {'ambient': '1008.787', 'aut_centralizer_order': 72, 'aut_label': '56.d1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.d1.a1'], 'contains': ['112.a1.a1', '168.i1.a1', '168.j1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8594, -1, 1215, -1, 1444, -1, 1087, -1], 'generators': [1, 336, 28], 'label': '1008.787.56.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '56.d1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462042
    {'ambient': '1008.787', 'aut_centralizer_order': 84, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '144.195', 'aut_weyl_index': 84, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '12.c1.a1', '12.h1.a1', '28.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7951, 6650, 3574, 6918, 2396, 5949, 1886, 5952], 'generators': [126, 28, 12, 168, 336], 'label': '1008.787.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462043
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '63.a1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1512, 'centralizer': '252.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '21.a1.a1', '21.b1.a1'], 'contains': ['126.a1.a1', '126.b1.a1', '126.c1.a1', '126.d1.a1', '126.e1.a1', '126.f1.a1', '126.g1.a1'], 'core': '252.a1.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [1285, -1, 8507, -1, 8118, -1, 7226, -1], 'generators': [1, 42, 84], 'label': '1008.787.63.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1.a1', 'old_label': '63.a1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '63.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462044
    {'ambient': '1008.787', 'aut_centralizer_order': 2016, 'aut_label': '72.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2016, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '36.a1.a1', '36.b1.a1', '36.c1.a1', '36.d1.a1', '36.e1.a1', '36.f1.a1', '36.g1.a1'], 'contains': ['144.a1.a1', '504.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4481, 3084, 4757, 3135, 6607, 4692, 3544, 4126], 'generators': [168, 12], 'label': '1008.787.72.a1.a1', 'mobius_quo': 1, 'mobius_sub': -72, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.a1.a1', '24.b1.a1', '36.a1.a1'], 'normal_contains': ['144.a1.a1', '504.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.12', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462047
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '42.1', 'aut_weyl_index': 288, 'centralizer': '84.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '24.j1.a1', '36.c1.a1'], 'contains': ['144.a1.a1', '504.d1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7099, -1, 1531, -1, 2145, -1, 1172, -1], 'generators': [1, 12], 'label': '1008.787.72.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1.a1', 'old_label': '72.d1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 69462048
    {'ambient': '1008.787', 'aut_centralizer_order': 3024, 'aut_label': '84.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '28.a1.a1', '42.a1.a1', '42.c1.a1', '42.e1.a1'], 'contains': ['168.a1.a1', '168.d1.a1', '252.a1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6877, 5255, 3866, 5270, 5744, 7030, 5900, 7410], 'generators': [42, 168, 336], 'label': '1008.787.84.a1.a1', 'mobius_quo': 0, 'mobius_sub': 42, 'normal_closure': '84.a1.a1', 'normal_contained_in': ['12.a1.a1', '28.a1.a1', '42.a1.a1'], 'normal_contains': ['168.a1.a1', '252.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '84.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '84.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462049
    {'ambient': '1008.787', 'aut_centralizer_order': 3024, 'aut_label': '84.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '28.a1.a1', '42.b1.a1', '42.d1.a1', '42.f1.a1'], 'contains': ['168.b1.a1', '168.e1.a1', '252.a1.a1'], 'core': '84.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6008, 1459, 2663, 1441, 2963, 3754, 5700, 5158], 'generators': [42, 168, 28], 'label': '1008.787.84.b1.a1', 'mobius_quo': 0, 'mobius_sub': 42, 'normal_closure': '84.b1.a1', 'normal_contained_in': ['12.b1.a1', '28.a1.a1'], 'normal_contains': ['168.b1.a1', '252.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '84.b1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '84.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462050
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '84.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '28.b1.a1', '42.a1.a1', '42.j1.a1', '42.k1.a1'], 'contains': ['168.a1.a1', '168.h1.a1', '252.b1.a1'], 'core': '84.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7444, 7110, 5726, 7592, 7145, 7680, 6558, 8061], 'generators': [126, 168, 336], 'label': '1008.787.84.c1.a1', 'mobius_quo': 0, 'mobius_sub': 42, 'normal_closure': '84.c1.a1', 'normal_contained_in': ['12.c1.a1', '28.b1.a1', '42.a1.a1'], 'normal_contains': ['168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '84.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462051
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '84.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '12.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '28.c1.a1', '42.a1.a1', '42.l1.a1', '42.n1.a1'], 'contains': ['168.a1.a1', '252.d1.a1'], 'core': '84.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2902, 8066, 8248, 8468, 8675, 8231, 7789, 8787], 'generators': [84, 168, 336], 'label': '1008.787.84.d1.a1', 'mobius_quo': 0, 'mobius_sub': 42, 'normal_closure': '84.d1.a1', 'normal_contained_in': ['12.e1.a1', '28.c1.a1', '42.a1.a1'], 'normal_contains': ['168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '84.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462052
    {'ambient': '1008.787', 'aut_centralizer_order': 1512, 'aut_label': '84.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '28.a1.a1', '42.g1.a1'], 'contains': ['168.c1.a1', '168.f1.a1', '168.f1.b1', '252.a1.a1'], 'core': '252.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8944, -1, 291, -1, 2634, -1, 6100, -1], 'generators': [42, 168, 364], 'label': '1008.787.84.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '84.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462053
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '12.d1.a1', '12.i1.a1', '28.d1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7004, 4615, 2943, 2445, 1450, 2416, 946, 2418], 'generators': [1, 336, 28, 168, 12], 'label': '1008.787.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '12.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '168.56'}
  • id: 69462054
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '84.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '28.b1.a1', '42.b1.a1', '42.h1.a1', '42.i1.a1'], 'contains': ['168.b1.a1', '168.g1.a1', '252.b1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5234, -1, 3500, -1, 3867, -1, 6405, -1], 'generators': [126, 168, 28], 'label': '1008.787.84.f1.a1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '84.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462055
    {'ambient': '1008.787', 'aut_centralizer_order': 144, 'aut_label': '84.g1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '84.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '28.d1.a1', '42.c1.a1', '42.j1.a1', '42.l1.a1'], 'contains': ['168.a1.a1', '168.i1.a1', '252.c1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [6537, -1, 4352, -1, 6076, -1, 5501, -1], 'generators': [1, 168, 336], 'label': '1008.787.84.g1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '84.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462056
    {'ambient': '1008.787', 'aut_centralizer_order': 144, 'aut_label': '84.h1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '84.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '28.d1.a1', '42.d1.a1', '42.h1.a1', '42.m1.a1'], 'contains': ['168.b1.a1', '168.j1.a1', '252.c1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4124, -1, 2991, -1, 3115, -1, 5348, -1], 'generators': [1, 168, 28], 'label': '1008.787.84.h1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '84.h1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462057
    {'ambient': '1008.787', 'aut_centralizer_order': 144, 'aut_label': '84.i1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '84.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '28.e1.a1', '42.c1.a1', '42.k1.a1', '42.n1.a1'], 'contains': ['168.a1.a1', '252.e1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2246, -1, 6879, -1, 7973, -1, 7222, -1], 'generators': [75, 336, 168], 'label': '1008.787.84.i1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '84.i1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462058
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '84.j1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '126.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '28.f1.a1', '42.e1.a1', '42.k1.a1', '42.l1.a1'], 'contains': ['168.a1.a1', '252.f1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3498, -1, 9340, -1, 8105, -1, 8529, -1], 'generators': [85, 168, 336], 'label': '1008.787.84.j1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '84.j1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.j1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 69462059
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '84.k1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '28.g1.a1', '42.e1.a1', '42.j1.a1', '42.n1.a1'], 'contains': ['168.a1.a1', '252.g1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5829, -1, 7700, -1, 7265, -1, 8259, -1], 'generators': [159, 168, 336], 'label': '1008.787.84.k1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '84.k1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462060
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '12.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.m1.a1', '28.c1.a1', '42.b1.a1', '42.m1.a1', '42.o1.a1'], 'contains': ['168.b1.a1', '252.d1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1491, -1, 6745, -1, 5294, -1, 7657, -1], 'generators': [84, 28, 168], 'label': '1008.787.84.l1.a1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '84.l1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462061
    {'ambient': '1008.787', 'aut_centralizer_order': 144, 'aut_label': '84.m1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '84.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '28.e1.a1', '42.d1.a1', '42.i1.a1', '42.o1.a1'], 'contains': ['168.b1.a1', '252.e1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [577, -1, 5268, -1, 4466, -1, 7090, -1], 'generators': [75, 168, 28], 'label': '1008.787.84.m1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '84.m1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.m1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462062
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '84.n1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '126.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.a1', '28.f1.a1', '42.f1.a1', '42.i1.a1', '42.m1.a1'], 'contains': ['168.b1.a1', '252.f1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1931, -1, 7451, -1, 4641, -1, 8394, -1], 'generators': [85, 168, 28], 'label': '1008.787.84.n1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.n1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.n1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 69462063
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '84.o1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1.a1', '28.g1.a1', '42.f1.a1', '42.h1.a1', '42.o1.a1'], 'contains': ['168.b1.a1', '252.g1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3240, -1, 5589, -1, 4035, -1, 8124, -1], 'generators': [159, 168, 28], 'label': '1008.787.84.o1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.o1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.o1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462064
    {'ambient': '1008.787', 'aut_centralizer_order': 84, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '144.195', 'aut_weyl_index': 84, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '12.e1.a1', '12.m1.a1', '28.c1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2607, 7930, 7152, 8252, 6142, 7062, 4110, 7066], 'generators': [84, 12, 168, 28, 336], 'label': '1008.787.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '12.e1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462065
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '84.p1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1.a1', '28.f1.a1', '42.g1.a1'], 'contains': ['168.c1.a1', '252.f1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [5625, -1, 6503, -1, 3571, -1, 8999, -1], 'generators': [85, 168, 364], 'label': '1008.787.84.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.g1.a1', 'old_label': '84.p1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.p1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 69462066
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '84.q1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1008, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.q1.a1', '28.g1.a1', '42.g1.a1'], 'contains': ['168.c1.a1', '252.g1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [6358, -1, 4119, -1, 3236, -1, 8664, -1], 'generators': [159, 168, 364], 'label': '1008.787.84.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.g1.a1', 'old_label': '84.q1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.q1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 69462067
    {'ambient': '1008.787', 'aut_centralizer_order': 3024, 'aut_label': '112.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '4.a1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1', '56.b1.a1', '56.c1.a1', '56.d1.a1'], 'contains': ['336.a1.a1', '336.b1.a1', '336.c1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9617, 4788, 772, 4911, 1585, 4161, 2014, 5658], 'generators': [28, 336], 'label': '1008.787.112.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1'], 'normal_contains': ['336.a1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': '1008.787', 'quotient_action_image': '4.2', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462068
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '126.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '12.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '42.a1.a1', '42.b1.a1', '63.a1.a1'], 'contains': ['252.a1.a1', '252.b1.a1', '252.d1.a1'], 'core': '252.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5061, -1, 6579, -1, 7385, -1, 6664, -1], 'generators': [42, 84], 'label': '1008.787.126.a1.a1', 'mobius_quo': None, 'mobius_sub': 21, 'normal_closure': '42.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '126.a1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462069
    {'ambient': '1008.787', 'aut_centralizer_order': 144, 'aut_label': '126.b1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '84.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.a1', '42.c1.a1', '42.d1.a1', '63.a1.a1'], 'contains': ['252.a1.a1', '252.c1.a1', '252.e1.a1'], 'core': '252.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1975, -1, 4157, -1, 6228, -1, 6253, -1], 'generators': [1, 42], 'label': '1008.787.126.b1.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '126.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462070
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '126.c1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '126.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.a1', '42.e1.a1', '42.f1.a1', '42.g1.a1', '63.a1.a1'], 'contains': ['252.a1.a1', '252.f1.a1', '252.g1.a1'], 'core': '252.a1.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3925, -1, 8558, -1, 6381, -1, 8832, -1], 'generators': [85, 42], 'label': '1008.787.126.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1.a1', 'old_label': '126.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462071
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '126.d1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '252.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.a1', '42.h1.a1', '42.j1.a1', '63.a1.a1'], 'contains': ['252.b1.a1', '252.c1.a1', '252.g1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3762, -1, 6371, -1, 6669, -1, 6770, -1], 'generators': [1, 126], 'label': '1008.787.126.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1.a1', 'old_label': '126.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462072
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '126.e1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '126.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1.a1', '42.i1.a1', '42.k1.a1', '63.a1.a1'], 'contains': ['252.b1.a1', '252.e1.a1', '252.f1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [1548, -1, 8148, -1, 7673, -1, 6922, -1], 'generators': [85, 126], 'label': '1008.787.126.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1.a1', 'old_label': '126.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462073
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '126.f1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '126.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.f1.a1', '42.l1.a1', '42.m1.a1', '63.a1.a1'], 'contains': ['252.c1.a1', '252.d1.a1', '252.f1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [1335, -1, 9020, -1, 8272, -1, 7956, -1], 'generators': [1, 84], 'label': '1008.787.126.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1.a1', 'old_label': '126.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462074
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '126.g1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3024, 'centralizer': '252.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.g1.a1', '42.n1.a1', '42.o1.a1', '63.a1.a1'], 'contains': ['252.d1.a1', '252.e1.a1', '252.g1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [511, -1, 8730, -1, 8425, -1, 7539, -1], 'generators': [75, 84], 'label': '1008.787.126.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1.a1', 'old_label': '126.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462075
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '12.f1.a1', '12.j1.a1', '28.e1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [900, 2466, 5341, 4686, 4190, 1297, 3648, 1298], 'generators': [75, 168, 28, 336, 12], 'label': '1008.787.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '12.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '168.56'}
  • id: 69462076
    {'ambient': '1008.787', 'aut_centralizer_order': 2016, 'aut_label': '144.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2016, 'centralizer': '2.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '72.a1.a1', '72.b1.a1', '72.c1.a1', '72.d1.a1'], 'contains': ['1008.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8334, 2868, 1387, 2910, 2098, 4342, 1824, 4151], 'generators': [12], 'label': '1008.787.144.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.a1', '48.b1.a1', '72.a1.a1'], 'normal_contains': ['1008.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '1008.787', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.30', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462077
    {'ambient': '1008.787', 'aut_centralizer_order': 6048, 'aut_label': '168.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1', '84.c1.a1', '84.d1.a1', '84.g1.a1', '84.i1.a1', '84.j1.a1', '84.k1.a1'], 'contains': ['336.a1.a1', '504.a1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6537, 5881, 5473, 6491, 7027, 6330, 7060, 6653], 'generators': [168, 336], 'label': '1008.787.168.a1.a1', 'mobius_quo': 1, 'mobius_sub': -168, 'normal_closure': '168.a1.a1', 'normal_contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1', '84.c1.a1', '84.d1.a1'], 'normal_contains': ['336.a1.a1', '504.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '168.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.14', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462078
    {'ambient': '1008.787', 'aut_centralizer_order': 6048, 'aut_label': '168.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '56.a1.a1', '84.b1.a1', '84.f1.a1', '84.h1.a1', '84.l1.a1', '84.m1.a1', '84.n1.a1', '84.o1.a1'], 'contains': ['336.b1.a1', '504.a1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4419, 2070, 3237, 2086, 3867, 3679, 6955, 4626], 'generators': [168, 28], 'label': '1008.787.168.b1.a1', 'mobius_quo': 1, 'mobius_sub': -168, 'normal_closure': '168.b1.a1', 'normal_contained_in': ['24.b1.a1', '56.a1.a1', '84.b1.a1'], 'normal_contains': ['336.b1.a1', '504.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '168.b1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.13', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462079
    {'ambient': '1008.787', 'aut_centralizer_order': 3024, 'aut_label': '168.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '56.a1.a1', '84.e1.a1', '84.p1.a1', '84.q1.a1'], 'contains': ['336.c1.a1', '504.a1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8817, -1, 1970, -1, 3236, -1, 7166, -1], 'generators': [168, 364], 'label': '1008.787.168.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '168.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462080
    {'ambient': '1008.787', 'aut_centralizer_order': 3024, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '56.b1.a1', '84.a1.a1'], 'contains': ['336.a1.a1', '504.b1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9231, -1, 1100, -1, 1933, -1, 2362, -1], 'generators': [42, 336], 'label': '1008.787.168.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '84.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '168.d1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462081
    {'ambient': '1008.787', 'aut_centralizer_order': 3024, 'aut_label': '168.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '56.b1.a1', '84.b1.a1'], 'contains': ['336.b1.a1', '504.b1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8366, -1, 613, -1, 1343, -1, 2256, -1], 'generators': [42, 28], 'label': '1008.787.168.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '84.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '168.e1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462082
    {'ambient': '1008.787', 'aut_centralizer_order': 1512, 'aut_label': '168.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '56.b1.a1', '84.e1.a1'], 'contains': ['336.c1.a1', '504.b1.a1'], 'core': '1008.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9889, -1, 274, -1, 1108, -1, 2467, -1], 'generators': [42, 700], 'label': '1008.787.168.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '168.f1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462083
    {'ambient': '1008.787', 'aut_centralizer_order': 1512, 'aut_label': '168.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.b1', '56.b1.a1', '84.e1.a1'], 'contains': ['336.c1.a1', '504.b1.a1'], 'core': '1008.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9889, -1, 41, -1, 1108, -1, 2573, -1], 'generators': [42, 364], 'label': '1008.787.168.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '168.f1.b1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.f1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462084
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '168.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '56.c1.a1', '84.f1.a1'], 'contains': ['336.b1.a1', '504.c1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8254, -1, 2115, -1, 2039, -1, 2679, -1], 'generators': [126, 28], 'label': '1008.787.168.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.i1.a1', 'old_label': '168.g1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462085
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '168.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2016, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '56.c1.a1', '84.c1.a1'], 'contains': ['336.a1.a1', '504.c1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9437, -1, 3347, -1, 2615, -1, 2785, -1], 'generators': [126, 336], 'label': '1008.787.168.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '84.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '168.h1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.h1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 69462086
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '3024.y', 'aut_weyl_index': 4, 'centralizer': '252.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '12.k1.a1', '12.n1.a1', '12.p1.a1', '28.f1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4144, 3595, 8901, 5861, 4421, 5067, 5749, 5070], 'generators': [85, 28, 336, 168, 12], 'label': '1008.787.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '252.36'}
  • id: 69462087
    {'ambient': '1008.787', 'aut_centralizer_order': 144, 'aut_label': '168.i1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '84.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '56.d1.a1', '84.g1.a1'], 'contains': ['336.a1.a1', '504.d1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [8704, -1, 1653, -1, 2380, -1, 1384, -1], 'generators': [1, 336], 'label': '1008.787.168.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.l1.a1', 'old_label': '168.i1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462088
    {'ambient': '1008.787', 'aut_centralizer_order': 144, 'aut_label': '168.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2016, 'centralizer': '84.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '56.d1.a1', '84.h1.a1'], 'contains': ['336.b1.a1', '504.d1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [7266, -1, 984, -1, 1827, -1, 1278, -1], 'generators': [1, 28], 'label': '1008.787.168.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '168.j1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.j1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 69462089
    {'ambient': '1008.787', 'aut_centralizer_order': 6048, 'aut_label': '252.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '84.a1.a1', '84.b1.a1', '84.e1.a1', '126.a1.a1', '126.b1.a1', '126.c1.a1'], 'contains': ['504.a1.a1', '504.b1.a1'], 'core': '252.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5583, 1474, 3924, 1464, 5744, 5774, 6100, 6171], 'generators': [42, 168], 'label': '1008.787.252.a1.a1', 'mobius_quo': 0, 'mobius_sub': -126, 'normal_closure': '252.a1.a1', 'normal_contained_in': ['36.a1.a1', '84.a1.a1', '84.b1.a1'], 'normal_contains': ['504.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '252.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '126.15', 'quotient_action_kernel_order': 126, 'quotient_fusion': None, 'short_label': '252.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462090
    {'ambient': '1008.787', 'aut_centralizer_order': 2016, 'aut_label': '252.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '6.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1', '84.c1.a1', '84.f1.a1', '126.a1.a1', '126.d1.a1', '126.e1.a1'], 'contains': ['504.a1.a1', '504.c1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5246, -1, 5996, -1, 6786, -1, 6611, -1], 'generators': [126, 168], 'label': '1008.787.252.b1.a1', 'mobius_quo': None, 'mobius_sub': -42, 'normal_closure': '84.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '252.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462091
    {'ambient': '1008.787', 'aut_centralizer_order': 288, 'aut_label': '252.c1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '42.l1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '84.g1.a1', '84.h1.a1', '126.b1.a1', '126.d1.a1', '126.f1.a1'], 'contains': ['504.a1.a1', '504.d1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3390, -1, 4365, -1, 6152, -1, 5740, -1], 'generators': [1, 168], 'label': '1008.787.252.c1.a1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '252.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462092
    {'ambient': '1008.787', 'aut_centralizer_order': 2016, 'aut_label': '252.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '6.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.a1', '84.d1.a1', '84.l1.a1', '126.a1.a1', '126.f1.a1', '126.g1.a1'], 'contains': ['504.a1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1591, -1, 8335, -1, 8272, -1, 7539, -1], 'generators': [84], 'label': '1008.787.252.d1.a1', 'mobius_quo': None, 'mobius_sub': -42, 'normal_closure': '84.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '252.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462093
    {'ambient': '1008.787', 'aut_centralizer_order': 288, 'aut_label': '252.e1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '42.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.a1', '84.i1.a1', '84.m1.a1', '126.b1.a1', '126.e1.a1', '126.g1.a1'], 'contains': ['504.a1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1411, -1, 6461, -1, 7673, -1, 6849, -1], 'generators': [75], 'label': '1008.787.252.e1.a1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '252.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462094
    {'ambient': '1008.787', 'aut_centralizer_order': 96, 'aut_label': '252.f1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '63.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.a1', '84.j1.a1', '84.n1.a1', '84.p1.a1', '126.c1.a1', '126.e1.a1', '126.f1.a1'], 'contains': ['504.a1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2409, -1, 8684, -1, 7319, -1, 8144, -1], 'generators': [85], 'label': '1008.787.252.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1.a1', 'old_label': '252.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69462095
    {'ambient': '1008.787', 'aut_centralizer_order': 96, 'aut_label': '252.g1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '126.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '84.k1.a1', '84.o1.a1', '84.q1.a1', '126.c1.a1', '126.d1.a1', '126.g1.a1'], 'contains': ['504.a1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [4008, -1, 7180, -1, 6490, -1, 7936, -1], 'generators': [159], 'label': '1008.787.252.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1.a1', 'old_label': '252.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462096
    {'ambient': '1008.787', 'aut_centralizer_order': 6048, 'aut_label': '336.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '2.b1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '112.a1.a1', '168.a1.a1', '168.d1.a1', '168.h1.a1', '168.i1.a1'], 'contains': ['1008.a1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9437, 4536, 1672, 4686, 2309, 5242, 2256, 5590], 'generators': [336], 'label': '1008.787.336.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '336.a1.a1', 'normal_contained_in': ['48.a1.a1', '112.a1.a1', '168.a1.a1'], 'normal_contains': ['1008.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.a1.a1', 'projective_image': '1008.787', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.38', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462097
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '3024.y', 'aut_weyl_index': 4, 'centralizer': '252.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '12.l1.a1', '12.o1.a1', '12.q1.a1', '28.g1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6428, 5637, 5011, 3510, 2913, 3304, 5003, 3306], 'generators': [159, 28, 336, 168, 12], 'label': '1008.787.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '252.36'}
  • id: 69462098
    {'ambient': '1008.787', 'aut_centralizer_order': 6048, 'aut_label': '336.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '2.a1.a1', 'complements': ['3.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '112.a1.a1', '168.b1.a1', '168.e1.a1', '168.g1.a1', '168.j1.a1'], 'contains': ['1008.a1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8215, 2474, 984, 2707, 1827, 3786, 2150, 4626], 'generators': [28], 'label': '1008.787.336.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '336.b1.a1', 'normal_contained_in': ['48.b1.a1', '112.a1.a1', '168.b1.a1'], 'normal_contains': ['1008.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.b1.a1', 'projective_image': '1008.787', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.33', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462099
    {'ambient': '1008.787', 'aut_centralizer_order': 3024, 'aut_label': '336.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6048, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '112.a1.a1', '168.c1.a1', '168.f1.a1', '168.f1.b1'], 'contains': ['1008.a1.a1'], 'core': '1008.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9942, -1, 274, -1, 1585, -1, 2467, -1], 'generators': [364], 'label': '1008.787.336.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '336.c1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462100
    {'ambient': '1008.787', 'aut_centralizer_order': 12096, 'aut_label': '504.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12096, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '168.a1.a1', '168.b1.a1', '168.c1.a1', '252.a1.a1', '252.b1.a1', '252.c1.a1', '252.d1.a1', '252.e1.a1', '252.f1.a1', '252.g1.a1'], 'contains': ['1008.a1.a1'], 'core': '504.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4240, 2200, 5647, 2625, 6549, 4792, 6902, 5077], 'generators': [168], 'label': '1008.787.504.a1.a1', 'mobius_quo': -1, 'mobius_sub': 504, 'normal_closure': '504.a1.a1', 'normal_contained_in': ['72.a1.a1', '168.a1.a1', '168.b1.a1', '252.a1.a1'], 'normal_contains': ['1008.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '504.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '1.1', 'quotient_action_kernel': '504.192', 'quotient_action_kernel_order': 504, 'quotient_fusion': None, 'short_label': '504.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69462101
    {'ambient': '1008.787', 'aut_centralizer_order': 6048, 'aut_label': '504.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12096, 'centralizer': '2.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1.a1', '168.d1.a1', '168.e1.a1', '168.f1.a1', '168.f1.b1', '252.a1.a1'], 'contains': ['1008.a1.a1'], 'core': '1008.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8829, -1, 613, -1, 1707, -1, 2362, -1], 'generators': [42], 'label': '1008.787.504.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '252.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '504.b1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69462102
    {'ambient': '1008.787', 'aut_centralizer_order': 2016, 'aut_label': '504.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12096, 'centralizer': '6.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1.a1', '168.g1.a1', '168.h1.a1', '252.b1.a1'], 'contains': ['1008.a1.a1'], 'core': '1008.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8540, -1, 2231, -1, 2497, -1, 2679, -1], 'generators': [126], 'label': '1008.787.504.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '84.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.i1.a1', 'old_label': '504.c1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69462103
    {'ambient': '1008.787', 'aut_centralizer_order': 288, 'aut_label': '504.d1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12096, 'centralizer': '42.l1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '168.i1.a1', '168.j1.a1', '252.c1.a1'], 'contains': ['1008.a1.a1'], 'core': '1008.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [7266, -1, 1438, -1, 2203, -1, 1384, -1], 'generators': [1], 'label': '1008.787.504.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.l1.a1', 'old_label': '504.d1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69462104
    {'ambient': '1008.787', 'aut_centralizer_order': None, 'aut_label': '1008.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '336.a1.a1', '336.b1.a1', '336.c1.a1', '504.a1.a1', '504.b1.a1', '504.c1.a1', '504.d1.a1'], 'contains': [], 'core': '1008.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8495, 2732, 1380, 3180, 2150, 4567, 2309, 4852], 'generators': [], 'label': '1008.787.1008.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1008.a1.a1', 'normal_contained_in': ['144.a1.a1', '336.a1.a1', '336.b1.a1', '504.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1008.a1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69462105
    {'ambient': '1008.787', 'aut_centralizer_order': 84, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.195', 'aut_weyl_index': 84, 'centralizer': '24.b1.a1', 'complements': ['168.j1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.b1.a1'], 'contains': ['12.a1.a1', '12.c1.a1', '12.e1.a1', '18.a1.a1', '42.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7323, 7901, 7406, 8213, 7635, 9231, 2369, 8192], 'generators': [42, 12, 168, 84, 336], 'label': '1008.787.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.a1', '12.c1.a1', '12.e1.a1', '42.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462106
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '168.a1.a1', 'complements': ['168.h1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.d1.a1', '12.f1.a1', '18.b1.a1', '42.d1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1385, 1286, 3369, 1359, 1904, 316, 1394, 316], 'generators': [1, 168, 28, 42, 12], 'label': '1008.787.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.b1.a1', '12.d1.a1', '12.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '168.56'}
  • id: 69462107
    {'ambient': '1008.787', 'aut_centralizer_order': 42, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '288.1043', 'aut_weyl_index': 42, 'centralizer': '24.b1.a1', 'complements': ['504.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.d1.a1', '6.a1.a1', '6.c1.a1', '14.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7163, 8196, 4518, 8835, 3927, 7943, 2369, 7948], 'generators': [42, 336, 28, 12, 84, 168], 'label': '1008.787.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.d1.a1', '6.a1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462108
    {'ambient': '1008.787', 'aut_centralizer_order': 84, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.52', 'aut_weyl_index': 252, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.h1.a1', '12.m1.a1', '18.a1.a1', '42.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5154, -1, 4518, -1, 3927, -1, 2125, -1], 'generators': [42, 28, 12, 84, 168], 'label': '1008.787.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 69462109
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '336.216', 'aut_weyl_index': 36, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.b1.a1'], 'contains': ['12.a1.a1', '12.i1.a1', '12.j1.a1', '18.b1.a1', '42.c1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5554, -1, 3891, -1, 6427, -1, 1624, -1], 'generators': [1, 336, 168, 42, 12], 'label': '1008.787.6.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 69462110
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.b1.a1'], 'contains': ['12.a1.a1', '12.k1.a1', '12.l1.a1', '18.c1.a1', '42.e1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4022, -1, 9625, -1, 7371, -1, 5518, -1], 'generators': [85, 168, 336, 42, 12], 'label': '1008.787.6.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 69462111
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.n1.a1', '12.o1.a1', '18.c1.a1', '42.f1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2061, -1, 7682, -1, 3419, -1, 5233, -1], 'generators': [85, 168, 28, 42, 12], 'label': '1008.787.6.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 69462112
    {'ambient': '1008.787', 'aut_centralizer_order': 2, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['12.g1.a1', '12.p1.a1', '12.q1.a1', '18.c1.a1', '42.g1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6094, -1, 5199, -1, 2134, -1, 5979, -1], 'generators': [85, 168, 364, 42, 12], 'label': '1008.787.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '6.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '42.5'}
  • id: 69462113
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.h1.a1', '12.o1.a1', '18.d1.a1', '42.h1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4500, -1, 4809, -1, 2738, -1, 2579, -1], 'generators': [1, 168, 28, 126, 12], 'label': '1008.787.6.h1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.h1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.h1.a1', 'subgroup_fusion': None, 'weyl_group': '168.56'}
  • id: 69462114
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '252.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.f1.a1', '12.h1.a1', '12.n1.a1', '18.e1.a1', '42.i1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [504, -1, 8036, -1, 5030, -1, 3120, -1], 'generators': [85, 168, 28, 126, 12], 'label': '1008.787.6.i1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.i1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.i1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 69462115
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.b1.a1'], 'contains': ['12.c1.a1', '12.i1.a1', '12.l1.a1', '18.d1.a1', '42.j1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6850, -1, 5635, -1, 7039, -1, 2754, -1], 'generators': [1, 168, 336, 126, 12], 'label': '1008.787.6.j1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.j1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 69462116
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.b1.a1'], 'contains': ['12.c1.a1', '12.j1.a1', '12.k1.a1', '18.e1.a1', '42.k1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2403, -1, 8486, -1, 8309, -1, 3384, -1], 'generators': [85, 168, 336, 126, 12], 'label': '1008.787.6.k1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.k1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 69462117
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '3.b1.a1'], 'contains': ['12.e1.a1', '12.i1.a1', '12.k1.a1', '18.f1.a1', '42.l1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3027, -1, 9959, -1, 8659, -1, 4793, -1], 'generators': [1, 168, 336, 84, 12], 'label': '1008.787.6.l1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.l1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.l1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 69462118
    {'ambient': '1008.787', 'aut_centralizer_order': 6, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '168.a1.a1', 'complements': ['504.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.e1.a1', '6.b1.a1', '6.d1.a1', '14.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4379, 632, 3369, 962, 1904, 1366, 1624, 1367], 'generators': [1, 12, 336, 168, 42, 28], 'label': '1008.787.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.e1.a1', '6.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '168.56'}
  • id: 69462119
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '252.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.m1.a1', '12.n1.a1', '18.f1.a1', '42.m1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1103, -1, 9293, -1, 5537, -1, 4549, -1], 'generators': [1, 168, 28, 84, 12], 'label': '1008.787.6.m1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.m1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.m1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 69462120
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.n1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '3.b1.a1'], 'contains': ['12.e1.a1', '12.j1.a1', '12.l1.a1', '18.g1.a1', '42.n1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1694, -1, 8781, -1, 8869, -1, 4340, -1], 'generators': [75, 168, 336, 84, 12], 'label': '1008.787.6.n1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.n1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.n1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 69462121
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '6.o1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 12, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '3.a1.a1'], 'contains': ['12.f1.a1', '12.m1.a1', '12.o1.a1', '18.g1.a1', '42.o1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [145, -1, 6136, -1, 5911, -1, 3879, -1], 'generators': [75, 168, 28, 84, 12], 'label': '1008.787.6.o1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.o1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.o1.a1', 'subgroup_fusion': None, 'weyl_group': '168.56'}
  • id: 69462122
    {'ambient': '1008.787', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '288.1040', 'aut_weyl_index': 42, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.b1.a1', '14.c1.a1', '14.d1.a1', '14.e1.a1', '14.f1.a1', '14.g1.a1', '21.a1.a1', '21.b1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3721, -1, 6613, -1, 4358, -1, 7159, -1], 'generators': [1, 336, 28, 42, 84, 168], 'label': '1008.787.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 69462123
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '8.a1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '56.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8334, 4615, 2745, 4686, 2312, 3479, 3327, 3481], 'generators': [168, 336, 12, 28], 'label': '1008.787.8.a1.a1', 'mobius_quo': 1, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462124
    {'ambient': '1008.787', 'aut_centralizer_order': 252, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.d1.a1', '24.e1.a1', '24.f1.a1', '24.f1.b1', '56.b1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9432, -1, 493, -1, 106, -1, 348, -1], 'generators': [42, 336, 12, 28], 'label': '1008.787.8.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.b1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462125
    {'ambient': '1008.787', 'aut_centralizer_order': 84, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '72.48', 'aut_weyl_index': 168, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.a1.a1', '24.g1.a1', '24.h1.a1', '56.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9155, -1, 1481, -1, 587, -1, 588, -1], 'generators': [126, 12, 336, 28], 'label': '1008.787.8.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.c1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462126
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.a1.a1', '24.i1.a1', '24.j1.a1', '56.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8077, -1, 1218, -1, 347, -1, 107, -1], 'generators': [1, 28, 12, 336], 'label': '1008.787.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.d1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 69462127
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '336.216', 'aut_weyl_index': 36, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.b1.a1'], 'contains': ['18.a1.a1', '18.b1.a1', '18.c1.a1', '18.d1.a1', '18.e1.a1', '18.f1.a1', '18.g1.a1', '63.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [1504, -1, 8375, -1, 7826, -1, 2910, -1], 'generators': [1, 84, 168, 42, 12], 'label': '1008.787.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 69462128
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '36.a1.a1', '84.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7612, 4177, 3624, 4184, 5803, 5017, 1398, 4501], 'generators': [42, 336, 12, 168], 'label': '1008.787.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '36.a1.a1', '84.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462129
    {'ambient': '1008.787', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '252.a1.a1', 'complements': ['504.c1.a1', '504.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '4.g1.a1', '6.e1.a1', '6.f1.a1', '6.g1.a1', '14.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4684, 2027, 6399, 2416, 3280, 4305, 5376, 4307], 'generators': [85, 12, 168, 28, 42, 336], 'label': '1008.787.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.f1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '252.36'}
  • id: 69462130
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.a1', '6.c1.a1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.e1.a1', '36.a1.a1', '84.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6270, 668, 3006, 543, 1187, 2460, 1159, 2462], 'generators': [42, 28, 12, 168], 'label': '1008.787.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.a1.a1', '6.b1.a1'], 'normal_contains': ['24.b1.a1', '36.a1.a1', '84.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462131
    {'ambient': '1008.787', 'aut_centralizer_order': 168, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '72.48', 'aut_weyl_index': 168, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.j1.a1', '6.k1.a1'], 'contains': ['24.a1.a1', '24.h1.a1', '36.b1.a1', '84.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7868, 6441, 5041, 6131, 7039, 6880, 2291, 6034], 'generators': [126, 12, 336, 168], 'label': '1008.787.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '84.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462132
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '12.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '84.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1', '6.h1.a1', '6.m1.a1'], 'contains': ['24.b1.a1', '24.j1.a1', '36.c1.a1', '84.h1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4323, 1574, 2813, 2379, 1570, 1672, 773, 1673], 'generators': [1, 28, 12, 168], 'label': '1008.787.12.d1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.d1.a1', 'normal_contained_in': ['4.c1.a1', '6.b1.a1'], 'normal_contains': ['24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 69462133
    {'ambient': '1008.787', 'aut_centralizer_order': 168, 'aut_label': '12.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '72.48', 'aut_weyl_index': 168, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.a1', '6.l1.a1', '6.n1.a1'], 'contains': ['24.a1.a1', '36.d1.a1', '84.d1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2683, 7627, 8946, 7644, 9891, 8956, 4079, 7066], 'generators': [84, 168, 336, 12], 'label': '1008.787.12.e1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.e1.a1', 'normal_contained_in': ['4.d1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '84.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462134
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '12.f1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '84.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.b1.a1', '6.i1.a1', '6.o1.a1'], 'contains': ['24.b1.a1', '36.e1.a1', '84.m1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [273, 2322, 5315, 1599, 4466, 1022, 3120, 1023], 'generators': [75, 28, 12, 168], 'label': '1008.787.12.f1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.f1.a1', 'normal_contained_in': ['4.e1.a1', '6.b1.a1'], 'normal_contains': ['24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 69462135
    {'ambient': '1008.787', 'aut_centralizer_order': 252, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.g1.a1'], 'contains': ['24.c1.a1', '24.f1.a1', '24.f1.b1', '36.a1.a1', '84.e1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9801, -1, 967, -1, 826, -1, 1638, -1], 'generators': [42, 364, 12, 168], 'label': '1008.787.12.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '12.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462136
    {'ambient': '1008.787', 'aut_centralizer_order': 168, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.c1.a1', '6.h1.a1', '6.i1.a1'], 'contains': ['24.b1.a1', '24.g1.a1', '36.b1.a1', '84.f1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5154, -1, 3315, -1, 2924, -1, 2052, -1], 'generators': [126, 28, 12, 168], 'label': '1008.787.12.h1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.h1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462137
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '168.47', 'aut_weyl_index': 72, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.d1.a1', '6.j1.a1', '6.l1.a1'], 'contains': ['24.a1.a1', '24.i1.a1', '36.c1.a1', '84.g1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7002, -1, 4356, -1, 6023, -1, 939, -1], 'generators': [1, 336, 12, 168], 'label': '1008.787.12.i1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.i1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 69462138
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '168.47', 'aut_weyl_index': 72, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.d1.a1', '6.k1.a1', '6.n1.a1'], 'contains': ['24.a1.a1', '36.e1.a1', '84.i1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1101, -1, 6789, -1, 8554, -1, 3569, -1], 'generators': [75, 168, 12, 336], 'label': '1008.787.12.j1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.j1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 69462139
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.e1.a1', '6.k1.a1', '6.l1.a1'], 'contains': ['24.a1.a1', '36.f1.a1', '84.j1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3285, -1, 9856, -1, 8764, -1, 5260, -1], 'generators': [85, 336, 12, 168], 'label': '1008.787.12.k1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.k1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 69462140
    {'ambient': '1008.787', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '504.a1.a1', 'complements': ['504.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.g1.a1', '6.h1.a1', '6.j1.a1', '14.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6727, 5945, 4809, 3592, 2738, 2348, 2754, 2349], 'generators': [1, 12, 168, 28, 126, 336], 'label': '1008.787.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '504.192'}
  • id: 69462141
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.e1.a1', '6.j1.a1', '6.n1.a1'], 'contains': ['24.a1.a1', '36.g1.a1', '84.k1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5800, -1, 7560, -1, 7381, -1, 4665, -1], 'generators': [159, 336, 12, 168], 'label': '1008.787.12.l1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.l1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 69462142
    {'ambient': '1008.787', 'aut_centralizer_order': 168, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '12.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.c1.a1', '6.m1.a1', '6.o1.a1'], 'contains': ['24.b1.a1', '36.d1.a1', '84.l1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [723, -1, 7217, -1, 5617, -1, 3756, -1], 'generators': [84, 12, 168, 28], 'label': '1008.787.12.m1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.m1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462143
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '126.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.f1.a1', '6.i1.a1', '6.m1.a1'], 'contains': ['24.b1.a1', '36.f1.a1', '84.n1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2041, -1, 9281, -1, 4641, -1, 4840, -1], 'generators': [85, 28, 12, 168], 'label': '1008.787.12.n1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.n1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.a1', 'subgroup_fusion': None, 'weyl_group': '42.5'}
  • id: 69462144
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.f1.a1', '6.h1.a1', '6.o1.a1'], 'contains': ['24.b1.a1', '36.g1.a1', '84.o1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3910, -1, 5786, -1, 3434, -1, 4490, -1], 'generators': [159, 28, 12, 168], 'label': '1008.787.12.o1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.o1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 69462145
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.g1.a1'], 'contains': ['24.c1.a1', '36.f1.a1', '84.p1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5987, -1, 6570, -1, 2717, -1, 5609, -1], 'generators': [85, 364, 12, 168], 'label': '1008.787.12.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '12.p1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.a1', 'subgroup_fusion': None, 'weyl_group': '42.5'}
  • id: 69462146
    {'ambient': '1008.787', 'aut_centralizer_order': 4, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '504.162', 'aut_weyl_index': 24, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.g1.a1'], 'contains': ['24.c1.a1', '36.g1.a1', '84.q1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6630, -1, 4100, -1, 1860, -1, 5434, -1], 'generators': [159, 364, 12, 168], 'label': '1008.787.12.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '12.q1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1.a1', 'subgroup_fusion': None, 'weyl_group': '42.5'}
  • id: 69462147
    {'ambient': '1008.787', 'aut_centralizer_order': 252, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.51', 'aut_weyl_index': 252, 'centralizer': '24.b1.a1', 'complements': ['72.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1', '42.a1.a1', '42.b1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7163, 9368, 4058, 9457, 3684, 8187, 6652, 9237], 'generators': [42, 336, 84, 28, 168], 'label': '1008.787.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1', '42.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462148
    {'ambient': '1008.787', 'aut_centralizer_order': 36, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '48.51', 'aut_weyl_index': 252, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.d1.a1', '28.e1.a1', '42.c1.a1', '42.d1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5374, -1, 2547, -1, 1694, -1, 6244, -1], 'generators': [1, 28, 42, 336, 168], 'label': '1008.787.14.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462149
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '144.192', 'aut_weyl_index': 84, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.f1.a1', '28.g1.a1', '42.e1.a1', '42.f1.a1', '42.g1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4798, -1, 6482, -1, 3139, -1, 9131, -1], 'generators': [85, 336, 42, 168, 28], 'label': '1008.787.14.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 69462150
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '144.192', 'aut_weyl_index': 84, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.d1.a1', '28.g1.a1', '42.h1.a1', '42.j1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6841, -1, 4431, -1, 2582, -1, 6956, -1], 'generators': [1, 336, 126, 168, 28], 'label': '1008.787.14.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 69462151
    {'ambient': '1008.787', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '504.a1.a1', 'complements': ['504.b1.a1', '504.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '4.f1.a1', '6.i1.a1', '6.k1.a1', '14.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2276, 3422, 7859, 5929, 4766, 5517, 3618, 5521], 'generators': [85, 12, 168, 28, 126, 336], 'label': '1008.787.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.e1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '504.192'}
  • id: 69462152
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '144.192', 'aut_weyl_index': 84, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.e1.a1', '28.f1.a1', '42.i1.a1', '42.k1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2566, -1, 7761, -1, 4766, -1, 7417, -1], 'generators': [85, 336, 126, 168, 28], 'label': '1008.787.14.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 69462153
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '144.192', 'aut_weyl_index': 84, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '7.a1.a1'], 'contains': ['28.c1.a1', '28.d1.a1', '28.f1.a1', '42.l1.a1', '42.m1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3065, -1, 8597, -1, 5294, -1, 8250, -1], 'generators': [1, 336, 84, 168, 28], 'label': '1008.787.14.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 69462154
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '144.192', 'aut_weyl_index': 84, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '7.a1.a1'], 'contains': ['28.c1.a1', '28.e1.a1', '28.g1.a1', '42.n1.a1', '42.o1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1930, -1, 6134, -1, 5741, -1, 8044, -1], 'generators': [75, 336, 84, 168, 28], 'label': '1008.787.14.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.g1.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
  • id: 69462155
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '16.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '4.a1.a1', 'complements': ['63.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '112.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9170, 3624, 558, 3330, 1225, 2817, 1306, 3200], 'generators': [28, 12, 336], 'label': '1008.787.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['48.a1.a1', '48.b1.a1', '112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '1008.787', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462156
    {'ambient': '1008.787', 'aut_centralizer_order': 168, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 504, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.c1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.b1.a1', '36.d1.a1', '126.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5218, -1, 7376, -1, 7814, -1, 2512, -1], 'generators': [42, 12, 168, 84], 'label': '1008.787.18.a1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 69462157
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '168.47', 'aut_weyl_index': 72, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '6.d1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.c1.a1', '36.e1.a1', '126.b1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1668, -1, 3920, -1, 6211, -1, 1845, -1], 'generators': [1, 168, 12, 42], 'label': '1008.787.18.b1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 69462158
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '168.47', 'aut_weyl_index': 72, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '6.f1.a1', '6.g1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.f1.a1', '36.g1.a1', '126.c1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2428, -1, 8991, -1, 6622, -1, 5050, -1], 'generators': [85, 168, 12, 42], 'label': '1008.787.18.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 69462159
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '168.47', 'aut_weyl_index': 72, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.a1', '6.j1.a1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.c1.a1', '36.g1.a1', '126.d1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4121, -1, 5848, -1, 6832, -1, 2700, -1], 'generators': [1, 168, 12, 126], 'label': '1008.787.18.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 69462160
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '168.47', 'aut_weyl_index': 72, 'centralizer': '252.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.i1.a1', '6.k1.a1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.e1.a1', '36.f1.a1', '126.e1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [928, -1, 8248, -1, 8309, -1, 2910, -1], 'generators': [85, 168, 12, 126], 'label': '1008.787.18.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 69462161
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '18.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '168.47', 'aut_weyl_index': 72, 'centralizer': '252.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.l1.a1', '6.m1.a1', '9.a1.a1'], 'contains': ['36.c1.a1', '36.d1.a1', '36.f1.a1', '126.f1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [1346, -1, 9398, -1, 9151, -1, 4302, -1], 'generators': [1, 168, 12, 84], 'label': '1008.787.18.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.f1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 69462162
    {'ambient': '1008.787', 'aut_centralizer_order': 2, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '504.a1.a1', 'complements': ['504.b1.a1', '504.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.d1.a1', '4.f1.a1', '6.l1.a1', '6.m1.a1', '14.f1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3016, 4816, 8955, 7382, 5294, 6730, 4549, 6734], 'generators': [1, 12, 168, 28, 84, 336], 'label': '1008.787.2.f1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.d1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.f1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1.a1', 'subgroup_fusion': None, 'weyl_group': '504.192'}
  • id: 69462163
    {'ambient': '1008.787', 'aut_centralizer_order': 8, 'aut_label': '18.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '168.47', 'aut_weyl_index': 72, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.n1.a1', '6.o1.a1', '9.a1.a1'], 'contains': ['36.d1.a1', '36.e1.a1', '36.g1.a1', '126.g1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [667, -1, 8504, -1, 9565, -1, 3888, -1], 'generators': [75, 168, 12, 84], 'label': '1008.787.18.g1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.g1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 69462164
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '48.51', 'aut_weyl_index': 252, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '7.a1.a1'], 'contains': ['42.b1.a1', '42.d1.a1', '42.f1.a1', '42.h1.a1', '42.i1.a1', '42.m1.a1', '42.o1.a1', '63.a1.a1'], 'core': '84.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [408, -1, 6932, -1, 4576, -1, 7091, -1], 'generators': [1, 28, 42, 84, 168], 'label': '1008.787.21.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '21.a1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462165
    {'ambient': '1008.787', 'aut_centralizer_order': 12, 'aut_label': '21.b1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '48.51', 'aut_weyl_index': 252, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1', '7.a1.a1'], 'contains': ['42.a1.a1', '42.c1.a1', '42.e1.a1', '42.j1.a1', '42.k1.a1', '42.l1.a1', '42.n1.a1', '63.a1.a1'], 'core': '42.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3644, -1, 9548, -1, 7979, -1, 7226, -1], 'generators': [1, 336, 42, 84, 168], 'label': '1008.787.21.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.b1.a1', 'old_label': '21.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462166
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '24.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.c1.a1', '12.e1.a1', '12.i1.a1', '12.j1.a1', '12.k1.a1', '12.l1.a1'], 'contains': ['48.a1.a1', '72.a1.a1', '168.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7557, 5450, 4854, 5173, 7027, 6330, 3610, 5859], 'generators': [168, 12, 336], 'label': '1008.787.24.a1.a1', 'mobius_quo': -1, 'mobius_sub': 24, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.c1.a1', '12.e1.a1'], 'normal_contains': ['48.a1.a1', '72.a1.a1', '168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462167
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '24.b1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.b1.a1', '12.d1.a1', '12.f1.a1', '12.h1.a1', '12.m1.a1', '12.n1.a1', '12.o1.a1'], 'contains': ['48.b1.a1', '72.a1.a1', '168.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5037, 1919, 3052, 1906, 3703, 2029, 3346, 2412], 'generators': [168, 12, 28], 'label': '1008.787.24.b1.a1', 'mobius_quo': -1, 'mobius_sub': 24, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.a1.a1', '12.b1.a1', '12.d1.a1', '12.f1.a1'], 'normal_contains': ['48.b1.a1', '72.a1.a1', '168.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462168
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.g1.a1', '12.p1.a1', '12.q1.a1'], 'contains': ['48.c1.a1', '72.a1.a1', '168.c1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9620, -1, 1307, -1, 2798, -1, 3739, -1], 'generators': [168, 12, 364], 'label': '1008.787.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '24.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462169
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1'], 'contains': ['48.a1.a1', '72.b1.a1', '168.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9210, -1, 1113, -1, 1739, -1, 1620, -1], 'generators': [42, 12, 336], 'label': '1008.787.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '24.d1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462170
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.b1.a1'], 'contains': ['48.b1.a1', '72.b1.a1', '168.e1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8012, -1, 782, -1, 1040, -1, 1491, -1], 'generators': [42, 12, 28], 'label': '1008.787.24.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '24.e1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462171
    {'ambient': '1008.787', 'aut_centralizer_order': 252, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.g1.a1'], 'contains': ['48.c1.a1', '72.b1.a1', '168.f1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9818, -1, 356, -1, 711, -1, 1749, -1], 'generators': [42, 12, 700], 'label': '1008.787.24.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '24.f1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462172
    {'ambient': '1008.787', 'aut_centralizer_order': 252, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.g1.a1'], 'contains': ['48.c1.a1', '72.b1.a1', '168.f1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9818, -1, 138, -1, 711, -1, 1879, -1], 'generators': [42, 12, 364], 'label': '1008.787.24.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '24.f1.b1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462173
    {'ambient': '1008.787', 'aut_centralizer_order': 2, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '504.a1.a1', 'complements': ['504.b1.a1', '504.c1.a1', '504.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.e1.a1', '4.g1.a1', '6.n1.a1', '6.o1.a1', '14.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1818, 6937, 6024, 4626, 5741, 3210, 4110, 3212], 'generators': [75, 12, 168, 28, 84, 336], 'label': '1008.787.2.g1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.e1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.g1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1.a1', 'subgroup_fusion': None, 'weyl_group': '504.192'}
  • id: 69462174
    {'ambient': '1008.787', 'aut_centralizer_order': 168, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.h1.a1'], 'contains': ['48.b1.a1', '72.c1.a1', '168.g1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7874, -1, 1711, -1, 2068, -1, 2008, -1], 'generators': [126, 12, 28], 'label': '1008.787.24.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.i1.a1', 'old_label': '24.g1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69462175
    {'ambient': '1008.787', 'aut_centralizer_order': 168, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '36.12', 'aut_weyl_index': 336, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '72.c1.a1', '168.h1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9385, -1, 2173, -1, 2434, -1, 2172, -1], 'generators': [126, 336, 12], 'label': '1008.787.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '24.h1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 69462176
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 144, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.i1.a1'], 'contains': ['48.a1.a1', '72.d1.a1', '168.i1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8853, -1, 1480, -1, 2234, -1, 887, -1], 'generators': [1, 12, 336], 'label': '1008.787.24.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1.a1', 'old_label': '24.i1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 69462177
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '252.26', 'aut_weyl_index': 48, 'centralizer': '84.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.d1.a1'], 'contains': ['48.b1.a1', '72.d1.a1', '168.j1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7213, -1, 918, -1, 1609, -1, 721, -1], 'generators': [1, 12, 28], 'label': '1008.787.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.j1.a1', 'projective_image': '1008.787', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': '42.5'}
  • id: 69462178
    {'ambient': '1008.787', 'aut_centralizer_order': 1512, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1512, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1', '14.b1.a1', '14.c1.a1'], 'contains': ['56.a1.a1', '56.b1.a1', '84.a1.a1', '84.b1.a1', '84.e1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8636, 5176, 2017, 5315, 1007, 4248, 6091, 5270], 'generators': [42, 168, 28, 336], 'label': '1008.787.28.a1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '84.a1.a1', '84.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462179
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '28.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.a1.a1', '14.d1.a1', '14.e1.a1'], 'contains': ['56.a1.a1', '56.c1.a1', '84.c1.a1', '84.f1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8406, 6973, 2979, 7142, 2531, 5949, 6452, 8011], 'generators': [126, 168, 28, 336], 'label': '1008.787.28.b1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.b1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '84.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462180
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '28.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.a1.a1', '14.f1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '84.d1.a1', '84.l1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2855, 8936, 6850, 9172, 5294, 7912, 8243, 8955], 'generators': [84, 28, 168, 336], 'label': '1008.787.28.c1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.c1.a1', 'normal_contained_in': ['4.d1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '84.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462181
    {'ambient': '1008.787', 'aut_centralizer_order': 72, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.b1.a1', '14.d1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '56.d1.a1', '84.g1.a1', '84.h1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7477, -1, 2577, -1, 1406, -1, 5796, -1], 'generators': [1, 168, 336, 28], 'label': '1008.787.28.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462182
    {'ambient': '1008.787', 'aut_centralizer_order': 72, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.b1.a1', '14.e1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '84.i1.a1', '84.m1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1760, -1, 5433, -1, 4090, -1, 7861, -1], 'generators': [75, 336, 168, 28], 'label': '1008.787.28.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462183
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '72.46', 'aut_weyl_index': 168, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.c1.a1', '14.e1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '84.j1.a1', '84.n1.a1', '84.p1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4317, -1, 8228, -1, 4296, -1, 9685, -1], 'generators': [85, 168, 28, 336], 'label': '1008.787.28.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 69462184
    {'ambient': '1008.787', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '504.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.b1.a1', '6.c1.a1', '6.f1.a1', '6.h1.a1', '6.i1.a1', '6.m1.a1', '6.o1.a1', '9.a1.a1', '21.a1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1310, -1, 6975, -1, 4535, -1, 3162, -1], 'generators': [1, 12, 84, 168, 42, 28], 'label': '1008.787.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '168.56'}
  • id: 69462185
    {'ambient': '1008.787', 'aut_centralizer_order': 24, 'aut_label': '28.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '72.46', 'aut_weyl_index': 168, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '14.c1.a1', '14.d1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '84.k1.a1', '84.o1.a1', '84.q1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6467, -1, 4777, -1, 3264, -1, 9028, -1], 'generators': [159, 168, 28, 336], 'label': '1008.787.28.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.g1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 69462186
    {'ambient': '1008.787', 'aut_centralizer_order': 1008, 'aut_label': '36.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.b1.a1', '12.g1.a1', '18.a1.a1', '18.b1.a1', '18.c1.a1'], 'contains': ['72.a1.a1', '72.b1.a1', '252.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6288, 1646, 3575, 1621, 5524, 4692, 2921, 4220], 'generators': [42, 12, 168], 'label': '1008.787.36.a1.a1', 'mobius_quo': 0, 'mobius_sub': 18, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.a1.a1', '12.b1.a1'], 'normal_contains': ['72.a1.a1', '252.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '4.2', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462187
    {'ambient': '1008.787', 'aut_centralizer_order': 336, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '12.h1.a1', '18.a1.a1', '18.d1.a1', '18.e1.a1'], 'contains': ['72.a1.a1', '72.c1.a1', '252.b1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5495, -1, 5202, -1, 6842, -1, 3161, -1], 'generators': [126, 12, 168], 'label': '1008.787.36.b1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '36.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462188
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '84.7', 'aut_weyl_index': 144, 'centralizer': '84.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '12.i1.a1', '18.b1.a1', '18.d1.a1', '18.f1.a1'], 'contains': ['72.a1.a1', '72.d1.a1', '252.c1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4401, -1, 4352, -1, 5910, -1, 2736, -1], 'generators': [1, 12, 168], 'label': '1008.787.36.c1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.c1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.c1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 69462189
    {'ambient': '1008.787', 'aut_centralizer_order': 336, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1008, 'centralizer': '12.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '12.m1.a1', '18.a1.a1', '18.f1.a1', '18.g1.a1'], 'contains': ['72.a1.a1', '252.d1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1341, -1, 8519, -1, 8543, -1, 3888, -1], 'generators': [84, 168, 12], 'label': '1008.787.36.d1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '36.d1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69462190
    {'ambient': '1008.787', 'aut_centralizer_order': 48, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '84.7', 'aut_weyl_index': 144, 'centralizer': '84.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '12.j1.a1', '18.b1.a1', '18.e1.a1', '18.g1.a1'], 'contains': ['72.a1.a1', '252.e1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [765, -1, 6619, -1, 7841, -1, 3478, -1], 'generators': [75, 12, 168], 'label': '1008.787.36.e1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.e1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 69462191
    {'ambient': '1008.787', 'aut_centralizer_order': 16, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '84.7', 'aut_weyl_index': 144, 'centralizer': '126.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '12.n1.a1', '12.p1.a1', '18.c1.a1', '18.e1.a1', '18.f1.a1'], 'contains': ['72.a1.a1', '252.f1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2029, -1, 8955, -1, 7506, -1, 4944, -1], 'generators': [85, 12, 168], 'label': '1008.787.36.f1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.f1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 69462192
    {'ambient': '1008.787', 'aut_centralizer_order': 16, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '84.7', 'aut_weyl_index': 144, 'centralizer': '252.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '12.o1.a1', '12.q1.a1', '18.c1.a1', '18.d1.a1', '18.g1.a1'], 'contains': ['72.a1.a1', '252.g1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3897, -1, 7606, -1, 6549, -1, 4578, -1], 'generators': [159, 12, 168], 'label': '1008.787.36.g1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '36.g1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 69462193
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '42.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 504, 'centralizer': '24.b1.a1', 'complements': ['24.j1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '14.a1.a1', '21.b1.a1'], 'contains': ['84.a1.a1', '84.c1.a1', '84.d1.a1', '126.a1.a1'], 'core': '42.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6783, 8202, 7651, 8528, 7983, 9769, 6821, 9769], 'generators': [42, 84, 168, 336], 'label': '1008.787.42.a1.a1', 'mobius_quo': 0, 'mobius_sub': -21, 'normal_closure': '42.a1.a1', 'normal_contained_in': ['6.a1.a1', '14.a1.a1'], 'normal_contains': ['84.a1.a1', '84.c1.a1', '84.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '42.a1.a1', 'projective_image': '504.192', 'quotient_action_image': '2.1', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '42.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 69462194
    {'ambient': '1008.787', 'aut_centralizer_order': 504, 'aut_label': '42.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1512, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '14.a1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.f1.a1', '84.l1.a1', '126.a1.a1'], 'core': '84.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4997, -1, 4273, -1, 3867, -1, 6652, -1], 'generators': [42, 84, 28, 168], 'label': '1008.787.42.b1.a1', 'mobius_quo': None, 'mobius_sub': -7, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '42.b1.a1', 'projective_image': '504.192', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}